31644843890625 has 189 divisors, whose sum is σ = 66495113949303. Its totient is φ = 14459463900000.

The previous prime is 31644843890617. The next prime is 31644843890651. The reversal of 31644843890625 is 52609834844613.

The square root of 31644843890625 is 5625375.

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

31644843890625 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 484 + 3 + 8 + 90 + 62 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 27723921153201 + 3920922737424 = 5265351^2 + 1980132^2 .

It is not a de Polignac number, because 31644843890625 - 2³ = 31644843890617 is a prime.

It is a super-2 number, since 2×31644843890625² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 14766608304 + ... + 14766610446.

Almost surely, 2^{31644843890625} is an apocalyptic number.

31644843890625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31644843890625 is the 5625375-th square number.

31644843890625 is the 2812688-th centered octagonal number.

It is an amenable number.

31644843890625 is an abundant number, since it is smaller than the sum of its proper divisors (34850270058678).

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

31644843890625 is an frugal number, since it uses more digits than its factorization.

31644843890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 31644843890625 in words is "thirty-one trillion, six hundred forty-four billion, eight hundred forty-three million, eight hundred ninety thousand, six hundred twenty-five".