160946365612032 has 4050 divisors, whose sum is σ = 682042118025814. Its totient is φ = 36318625136640.

The previous prime is 160946365611979. The next prime is 160946365612079. The reversal of 160946365612032 is 230216563649061.

160946365612032 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 46 + 3 + 6 + 561 + 2 + 0 + 32 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36027653308416 + 124918712303616 = 6002304^2 + 11176704^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 160946365612032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 9467433271288 + ... + 9467433271304.

Almost surely, 2^{160946365612032} is an apocalyptic number.

160946365612032 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 160946365612032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341021059012907).

160946365612032 is an abundant number, since it is smaller than the sum of its proper divisors (521095752413782).

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

160946365612032 is an equidigital number, since it uses as much as digits as its factorization.

160946365612032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 160946365612032 in words is "one hundred sixty trillion, nine hundred forty-six billion, three hundred sixty-five million, six hundred twelve thousand, thirty-two".