18408266953056 has 576 divisors, whose sum is σ = 58650384199680. Its totient is φ = 5661942612480.

The previous prime is 18408266953039. The next prime is 18408266953067. The reversal of 18408266953056 is 65035966280481.

It is a happy number.

18408266953056 is a `hidden beast` number, since 1 + 8 + 40 + 8 + 2 + 6 + 6 + 9 + 530 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18408266952984 and 18408266953002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870644821 + ... + 870665963.

It is an arithmetic number, because the mean of its divisors is an integer number (101823583680).

Almost surely, 2^{18408266953056} is an apocalyptic number.

18408266953056 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 18408266953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29325192099840).

18408266953056 is an abundant number, since it is smaller than the sum of its proper divisors (40242117246624).

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

18408266953056 is a wasteful number, since it uses less digits than its factorization.

18408266953056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21341 (or 21321 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 18408266953056 in words is "eighteen trillion, four hundred eight billion, two hundred sixty-six million, nine hundred fifty-three thousand, fifty-six".