481372902604944 has 1215 divisors, whose sum is σ = 1689703672904793. Its totient is φ = 127538276834304.

The previous prime is 481372902604939. The next prime is 481372902604961. The reversal of 481372902604944 is 449406209273184.

The square root of 481372902604944 is 21940212.

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

481372902604944 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 7 + 290 + 260 + 49 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97757119328400 + 383615783276544 = 9887220^2 + 19586112^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2065978122652 + ... + 2065978122884.

Almost surely, 2^{481372902604944} is an apocalyptic number.

481372902604944 is the 21940212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481372902604944

481372902604944 is an abundant number, since it is smaller than the sum of its proper divisors (1208330770299849).

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

481372902604944 is a wasteful number, since it uses less digits than its factorization.

481372902604944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 481372902604944 in words is "four hundred eighty-one trillion, three hundred seventy-two billion, nine hundred two million, six hundred four thousand, nine hundred forty-four".