18902661009408 has 2496 divisors, whose sum is σ = 71211846297600. Its totient is φ = 4887458611200.

The previous prime is 18902661009347. The next prime is 18902661009451. The reversal of 18902661009408 is 80490016620981.

18902661009408 is a `hidden beast` number, since 18 + 9 + 0 + 2 + 6 + 610 + 0 + 9 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 510882729966 + ... + 510882730002.

Almost surely, 2^{18902661009408} is an apocalyptic number.

18902661009408 is a gapful number since it is divisible by the number (18) 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 18902661009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35605923148800).

18902661009408 is an abundant number, since it is smaller than the sum of its proper divisors (52309185288192).

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

18902661009408 is a wasteful number, since it uses less digits than its factorization.

18902661009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 18902661009408 in words is "eighteen trillion, nine hundred two billion, six hundred sixty-one million, nine thousand, four hundred eight".