161647833600 has 960 divisors, whose sum is σ = 655226098560. Its totient is φ = 38707200000.

The previous prime is 161647833553. The next prime is 161647833601. The reversal of 161647833600 is 6338746161.

161647833600 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 4 + 7 + 8 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×161647833600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (161647833601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383961390 + ... + 383961810.

It is an arithmetic number, because the mean of its divisors is an integer number (682527186).

Almost surely, 2^161647833600 is an apocalyptic number.

161647833600 is a gapful number since it is divisible by the number (10) 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 161647833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327613049280).

161647833600 is an abundant number, since it is smaller than the sum of its proper divisors (493578264960).

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

161647833600 is a wasteful number, since it uses less digits than its factorization.

161647833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 161647833600 in words is "one hundred sixty-one billion, six hundred forty-seven million, eight hundred thirty-three thousand, six hundred".