32151358864 has 45 divisors (see below), whose sum is σ = 65152845793. Its totient is φ = 15368847296.

The previous prime is 32151358861. The next prime is 32151358871. The reversal of 32151358864 is 46885315123.

The square root of 32151358864 is 179308.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25891384464 + 6259974400 = 160908^2 + 79120^2 .

It is a super-2 number, since 2×32151358864² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32151358861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16495362 + ... + 16497310.

Almost surely, 2^32151358864 is an apocalyptic number.

32151358864 is the 179308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32151358864

32151358864 is an abundant number, since it is smaller than the sum of its proper divisors (33001486929).

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

32151358864 is an frugal number, since it uses more digits than its factorization.

32151358864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 1974 counting only the distinct ones).

The product of its digits is 691200, while the sum is 46.

The spelling of 32151358864 in words is "thirty-two billion, one hundred fifty-one million, three hundred fifty-eight thousand, eight hundred sixty-four".