10249973627364 has 27 divisors (see below), whose sum is σ = 25909704115113. Its totient is φ = 3416651472672.

The previous prime is 10249973627323. The next prime is 10249973627459. The reversal of 10249973627364 is 46372637994201.

It is a happy number.

The square root of 10249973627364 is 3201558.

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

10249973627364 is a `hidden beast` number, since 1 + 0 + 2 + 499 + 73 + 6 + 2 + 73 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161676368100 + 10088297259264 = 402090^2 + 3176208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18942552 + ... + 19476144.

Almost surely, 2^{10249973627364} is an apocalyptic number.

10249973627364 is the 3201558-th square number.

It is an amenable number.

10249973627364 is an abundant number, since it is smaller than the sum of its proper divisors (15659730487749).

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

10249973627364 is an frugal number, since it uses more digits than its factorization.

10249973627364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067196 (or 533598 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 10249973627364 in words is "ten trillion, two hundred forty-nine billion, nine hundred seventy-three million, six hundred twenty-seven thousand, three hundred sixty-four".