18451298880 has 672 divisors, whose sum is σ = 77639143680. Its totient is φ = 4110704640.

The previous prime is 18451298851. The next prime is 18451298893. The reversal of 18451298880 is 8889215481.

18451298880 is a `hidden beast` number, since 18 + 451 + 29 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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, 17357229 + ... + 17358291.

It is an arithmetic number, because the mean of its divisors is an integer number (115534440).

Almost surely, 2^18451298880 is an apocalyptic number.

18451298880 is a gapful number since it is divisible by the number (10) 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 18451298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38819571840).

18451298880 is an abundant number, since it is smaller than the sum of its proper divisors (59187844800).

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

18451298880 is a wasteful number, since it uses less digits than its factorization.

18451298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 18451298880 in words is "eighteen billion, four hundred fifty-one million, two hundred ninety-eight thousand, eight hundred eighty".