161512928957952 has 640 divisors, whose sum is σ = 561796137745920. Its totient is φ = 45168422584320.

The previous prime is 161512928957951. The next prime is 161512928957959. The reversal of 161512928957952 is 259759829215161.

161512928957952 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 1 + 29 + 28 + 9 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161512928957951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16690387738 + ... + 16690397414.

It is an arithmetic number, because the mean of its divisors is an integer number (877806465228).

Almost surely, 2^{161512928957952} is an apocalyptic number.

161512928957952 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 161512928957952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280898068872960).

161512928957952 is an abundant number, since it is smaller than the sum of its proper divisors (400283208787968).

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

161512928957952 is a wasteful number, since it uses less digits than its factorization.

161512928957952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18171 (or 18149 counting only the distinct ones).

The product of its digits is 244944000, while the sum is 72.

The spelling of 161512928957952 in words is "one hundred sixty-one trillion, five hundred twelve billion, nine hundred twenty-eight million, nine hundred fifty-seven thousand, nine hundred fifty-two".