18464979456 has 960 divisors, whose sum is σ = 73145318400. Its totient is φ = 4488929280.

The previous prime is 18464979451. The next prime is 18464979497. The reversal of 18464979456 is 65497946481.

18464979456 is a `hidden beast` number, since 1 + 8 + 4 + 6 + 497 + 94 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18464979393 and 18464979402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18464979451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222469591 + ... + 222469673.

It is an arithmetic number, because the mean of its divisors is an integer number (76193040).

Almost surely, 2^18464979456 is an apocalyptic number.

18464979456 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 18464979456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36572659200).

18464979456 is an abundant number, since it is smaller than the sum of its proper divisors (54680338944).

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

18464979456 is a wasteful number, since it uses less digits than its factorization.

18464979456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 18464979456 in words is "eighteen billion, four hundred sixty-four million, nine hundred seventy-nine thousand, four hundred fifty-six".