161457747264 has 168 divisors, whose sum is σ = 505217887200. Its totient is φ = 48892032000.

The previous prime is 161457747259. The next prime is 161457747277. The reversal of 161457747264 is 462747754161.

161457747264 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 577 + 4 + 7 + 2 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 161457747264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9806239 + ... + 9822689.

Almost surely, 2^161457747264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161457747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252608943600).

161457747264 is an abundant number, since it is smaller than the sum of its proper divisors (343760139936).

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

161457747264 is a wasteful number, since it uses less digits than its factorization.

161457747264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18029 (or 18016 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 161457747264 in words is "one hundred sixty-one billion, four hundred fifty-seven million, seven hundred forty-seven thousand, two hundred sixty-four".