1630643151168 has 140 divisors (see below), whose sum is σ = 4848990403092. Its totient is φ = 541832509440.

The previous prime is 1630643151167. The next prime is 1630643151211. The reversal of 1630643151168 is 8611513460361.

1630643151168 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 6 + 431 + 51 + 168 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 755355668544 + 875287482624 = 869112^2 + 935568^2 .

It is a super-2 number, since 2×1630643151168² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630643151167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1147188 + ... + 2139468.

Almost surely, 2^{1630643151168} is an apocalyptic number.

1630643151168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630643151168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424495201546).

1630643151168 is an abundant number, since it is smaller than the sum of its proper divisors (3218347251924).

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

1630643151168 is an equidigital number, since it uses as much as digits as its factorization.

1630643151168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992622 (or 992603 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1630643151168 in words is "one trillion, six hundred thirty billion, six hundred forty-three million, one hundred fifty-one thousand, one hundred sixty-eight".