161934562513152 has 1440 divisors, whose sum is σ = 596476395567360. Its totient is φ = 43016085504000.

The previous prime is 161934562513121. The next prime is 161934562513183. The reversal of 161934562513152 is 251315265439161.

161934562513152 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 3 + 4 + 5 + 625 + 1 + 3 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (161934562513121) and next prime (161934562513183).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 5245508277 + ... + 5245539147.

It is an arithmetic number, because the mean of its divisors is an integer number (414219719144).

Almost surely, 2^{161934562513152} is an apocalyptic number.

161934562513152 is a gapful number since it is divisible by the number (12) 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 161934562513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298238197783680).

161934562513152 is an abundant number, since it is smaller than the sum of its proper divisors (434541833054208).

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

161934562513152 is a wasteful number, since it uses less digits than its factorization.

161934562513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31013 (or 30990 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 161934562513152 in words is "one hundred sixty-one trillion, nine hundred thirty-four billion, five hundred sixty-two million, five hundred thirteen thousand, one hundred fifty-two".