18316479456000 has 5760 divisors, whose sum is σ = 86405144297472. Its totient is φ = 3795517440000.

The previous prime is 18316479455971. The next prime is 18316479456007. The reversal of 18316479456000 is 65497461381.

18316479456000 is a `hidden beast` number, since 1 + 8 + 3 + 1 + 6 + 4 + 79 + 4 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is not an unprimeable number, because it can be changed into a prime (18316479456007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 345593951974 + ... + 345593952026.

Almost surely, 2^{18316479456000} is an apocalyptic number.

18316479456000 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 18316479456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43202572148736).

18316479456000 is an abundant number, since it is smaller than the sum of its proper divisors (68088664841472).

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

18316479456000 is a wasteful number, since it uses less digits than its factorization.

18316479456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 18316479456000 in words is "eighteen trillion, three hundred sixteen billion, four hundred seventy-nine million, four hundred fifty-six thousand".