32164057152 has 112 divisors (see below), whose sum is σ = 95137305280. Its totient is φ = 10655483904.

The previous prime is 32164057091. The next prime is 32164057169. The reversal of 32164057152 is 25175046123.

32164057152 is a `hidden beast` number, since 3 + 2 + 1 + 640 + 5 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×32164057152² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224568 + ... + 338760.

Almost surely, 2^32164057152 is an apocalyptic number.

32164057152 is a gapful number since it is divisible by the number (32) 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 32164057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568652640).

32164057152 is an abundant number, since it is smaller than the sum of its proper divisors (62973248128).

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

32164057152 is a wasteful number, since it uses less digits than its factorization.

32164057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114377 (or 114361 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 32164057152 in words is "thirty-two billion, one hundred sixty-four million, fifty-seven thousand, one hundred fifty-two".