481687365264 has 80 divisors (see below), whose sum is σ = 1423728780288. Its totient is φ = 137469718656.

The previous prime is 481687365223. The next prime is 481687365281. The reversal of 481687365264 is 462563786184.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 481687365198 and 481687365207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510082 + ... + 1106145.

Almost surely, 2^481687365264 is an apocalyptic number.

It is an amenable number.

481687365264 is an abundant number, since it is smaller than the sum of its proper divisors (942041415024).

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

481687365264 is a wasteful number, since it uses less digits than its factorization.

481687365264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617132 (or 1617126 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 60.

It can be divided in two parts, 481687 and 365264, that added together give a triangular number (846951 = T₁₃₀₁).

The spelling of 481687365264 in words is "four hundred eighty-one billion, six hundred eighty-seven million, three hundred sixty-five thousand, two hundred sixty-four".