32232145532160 has 288 divisors, whose sum is σ = 117813335028480. Its totient is φ = 7356952018944.

The previous prime is 32232145532149. The next prime is 32232145532183. The reversal of 32232145532160 is 6123554123223.

It is a super-2 number, since 2×32232145532160² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18212284 + ... + 19903556.

It is an arithmetic number, because the mean of its divisors is an integer number (409074079960).

Almost surely, 2^{32232145532160} is an apocalyptic number.

32232145532160 is a gapful number since it is divisible by the number (30) 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 32232145532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58906667514240).

32232145532160 is an abundant number, since it is smaller than the sum of its proper divisors (85581189496320).

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

32232145532160 is a wasteful number, since it uses less digits than its factorization.

32232145532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692013 (or 1691999 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 32232145532160 its reverse (6123554123223), we get a palindrome (38355699655383).

The spelling of 32232145532160 in words is "thirty-two trillion, two hundred thirty-two billion, one hundred forty-five million, five hundred thirty-two thousand, one hundred sixty".