18954715207104 has 224 divisors, whose sum is σ = 57275450600000. Its totient is φ = 6142527406080.

The previous prime is 18954715207097. The next prime is 18954715207121. The reversal of 18954715207104 is 40170251745981.

18954715207104 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 4 + 7 + 1 + 520 + 7 + 104 = 666.

It is a super-2 number, since 2×18954715207104² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79737384 + ... + 79974744.

Almost surely, 2^{18954715207104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18954715207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28637725300000).

18954715207104 is an abundant number, since it is smaller than the sum of its proper divisors (38320735392896).

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

18954715207104 is a wasteful number, since it uses less digits than its factorization.

18954715207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238668 (or 238652 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 18954715207104 in words is "eighteen trillion, nine hundred fifty-four billion, seven hundred fifteen million, two hundred seven thousand, one hundred four".