232772546160 has 960 divisors, whose sum is σ = 1034046673920. Its totient is φ = 45459947520.

The previous prime is 232772546147. The next prime is 232772546183. The reversal of 232772546160 is 61645277232.

232772546160 is a `hidden beast` number, since 2 + 3 + 2 + 7 + 7 + 25 + 4 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 144309514 + ... + 144311126.

It is an arithmetic number, because the mean of its divisors is an integer number (1077131952).

Almost surely, 2^232772546160 is an apocalyptic number.

232772546160 is a gapful number since it is divisible by the number (20) 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 232772546160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517023336960).

232772546160 is an abundant number, since it is smaller than the sum of its proper divisors (801274127760).

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

232772546160 is a wasteful number, since it uses less digits than its factorization.

232772546160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 232772546160 in words is "two hundred thirty-two billion, seven hundred seventy-two million, five hundred forty-six thousand, one hundred sixty".