18378884354688 has 1280 divisors, whose sum is σ = 67090401100800. Its totient is φ = 4918114713600.

The previous prime is 18378884354687. The next prime is 18378884354737. The reversal of 18378884354688 is 88645348887381.

18378884354688 is a `hidden beast` number, since 1 + 8 + 3 + 78 + 8 + 84 + 3 + 5 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (18378884354687) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4090557370 + ... + 4090561862.

It is an arithmetic number, because the mean of its divisors is an integer number (52414375860).

Almost surely, 2^{18378884354688} is an apocalyptic number.

18378884354688 is a gapful number since it is divisible by the number (18) 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 18378884354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33545200550400).

18378884354688 is an abundant number, since it is smaller than the sum of its proper divisors (48711516746112).

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

18378884354688 is a wasteful number, since it uses less digits than its factorization.

18378884354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4642 counting only the distinct ones).

The product of its digits is 7927234560, while the sum is 81.

The spelling of 18378884354688 in words is "eighteen trillion, three hundred seventy-eight billion, eight hundred eighty-four million, three hundred fifty-four thousand, six hundred eighty-eight".