161015157615312 has 960 divisors, whose sum is σ = 617174476638720. Its totient is φ = 37834507468800.

The previous prime is 161015157615259. The next prime is 161015157615337. The reversal of 161015157615312 is 213516751510161.

161015157615312 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 5 + 1 + 57 + 61 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2435568114 + ... + 2435634222.

It is an arithmetic number, because the mean of its divisors is an integer number (642890079832).

Almost surely, 2^{161015157615312} is an apocalyptic number.

161015157615312 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 161015157615312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308587238319360).

161015157615312 is an abundant number, since it is smaller than the sum of its proper divisors (456159319023408).

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

161015157615312 is a wasteful number, since it uses less digits than its factorization.

161015157615312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66492 (or 66483 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 45.

The spelling of 161015157615312 in words is "one hundred sixty-one trillion, fifteen billion, one hundred fifty-seven million, six hundred fifteen thousand, three hundred twelve".