481280507136 has 720 divisors, whose sum is σ = 1703733913728. Its totient is φ = 133208064000.

The previous prime is 481280507063. The next prime is 481280507137. The reversal of 481280507136 is 631705082184.

481280507136 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 8 + 0 + 507 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 481280507091 and 481280507100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481280507137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299489245 + ... + 299490851.

Almost surely, 2^481280507136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481280507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851866956864).

481280507136 is an abundant number, since it is smaller than the sum of its proper divisors (1222453406592).

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

481280507136 is a wasteful number, since it uses less digits than its factorization.

481280507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 481280507136 in words is "four hundred eighty-one billion, two hundred eighty million, five hundred seven thousand, one hundred thirty-six".