18312408576 has 720 divisors, whose sum is σ = 68660502768. Its totient is φ = 4644864000.

The previous prime is 18312408539. The next prime is 18312408593. The reversal of 18312408576 is 67580421381.

18312408576 is a `hidden beast` number, since 1 + 8 + 31 + 2 + 40 + 8 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181310926 + ... + 181311026.

Almost surely, 2^18312408576 is an apocalyptic number.

18312408576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18312408576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34330251384).

18312408576 is an abundant number, since it is smaller than the sum of its proper divisors (50348094192).

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

18312408576 is a wasteful number, since it uses less digits than its factorization.

18312408576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

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

The spelling of 18312408576 in words is "eighteen billion, three hundred twelve million, four hundred eight thousand, five hundred seventy-six".