631614846564 has 243 divisors, whose sum is σ = 1811367276537. Its totient is φ = 185473708992.

The previous prime is 631614846451. The next prime is 631614846593. The reversal of 631614846564 is 465648416136.

The square root of 631614846564 is 794742.

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

631614846564 is a `hidden beast` number, since 6 + 31 + 6 + 1 + 4 + 8 + 46 + 564 = 666.

631614846564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 93434148900 + 538180697664 = 305670^2 + 733608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 631614846564.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1425766927 + ... + 1425767369.

Almost surely, 2^631614846564 is an apocalyptic number.

631614846564 is the 794742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631614846564

631614846564 is an abundant number, since it is smaller than the sum of its proper divisors (1179752429973).

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

631614846564 is a wasteful number, since it uses less digits than its factorization.

631614846564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 484 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 631614846564 in words is "six hundred thirty-one billion, six hundred fourteen million, eight hundred forty-six thousand, five hundred sixty-four".