31628656132096 has 135 divisors (see below), whose sum is σ = 64549262294391. Its totient is φ = 15497228058624.

The previous prime is 31628656132093. The next prime is 31628656132121. The reversal of 31628656132096 is 69023165682613.

The square root of 31628656132096 is 5623936.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2848263782400 + 28780392349696 = 1687680^2 + 5364736^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31628656132096.

It is not an unprimeable number, because it can be changed into a prime (31628656132093) 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, 38152781410 + ... + 38152782238.

Almost surely, 2^{31628656132096} is an apocalyptic number.

31628656132096 is the 5623936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31628656132096

31628656132096 is an abundant number, since it is smaller than the sum of its proper divisors (32920606162295).

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

31628656132096 is an frugal number, since it uses more digits than its factorization.

31628656132096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 31628656132096 in words is "thirty-one trillion, six hundred twenty-eight billion, six hundred fifty-six million, one hundred thirty-two thousand, ninety-six".