1630831161600 has 729 divisors, whose sum is σ = 6213591902973. Its totient is φ = 407998955520.

The previous prime is 1630831161593. The next prime is 1630831161601. The reversal of 1630831161600 is 61611380361.

The square root of 1630831161600 is 1277040.

It is a perfect power (a square), and thus also a powerful number.

1630831161600 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 8 + 31 + 1 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1543518003456 + 87313158144 = 1242384^2 + 295488^2 .

It is a super-2 number, since 2×1630831161600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1630831161601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5210323044 + ... + 5210323356.

Almost surely, 2^{1630831161600} is an apocalyptic number.

1630831161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1630831161600 is the 1277040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630831161600

1630831161600 is an abundant number, since it is smaller than the sum of its proper divisors (4582760741373).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1630831161600 is an equidigital number, since it uses as much as digits as its factorization.

1630831161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1630831161600 by its sum of digits (36), we get a square (58709921817600 = 7662240²).

1630831161600 divided by its sum of digits (36) gives a square (45300865600 = 212840²).

The spelling of 1630831161600 in words is "one trillion, six hundred thirty billion, eight hundred thirty-one million, one hundred sixty-one thousand, six hundred".