161150072832 has 576 divisors, whose sum is σ = 556928386560. Its totient is φ = 45601947648.

The previous prime is 161150072819. The next prime is 161150072849. The reversal of 161150072832 is 238270051161.

161150072832 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 500 + 72 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 581769078 + ... + 581769354.

It is an arithmetic number, because the mean of its divisors is an integer number (966889560).

Almost surely, 2^161150072832 is an apocalyptic number.

161150072832 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 161150072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278464193280).

161150072832 is an abundant number, since it is smaller than the sum of its proper divisors (395778313728).

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

161150072832 is an equidigital number, since it uses as much as digits as its factorization.

161150072832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 161150072832 in words is "one hundred sixty-one billion, one hundred fifty million, seventy-two thousand, eight hundred thirty-two".