18378914677200 has 4800 divisors, whose sum is σ = 90532628398080. Its totient is φ = 3456649728000.

The previous prime is 18378914677171. The next prime is 18378914677231. The reversal of 18378914677200 is 277641987381.

18378914677200 is a `hidden beast` number, since 1 + 83 + 7 + 8 + 91 + 467 + 7 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 144715863537 + ... + 144715863663.

Almost surely, 2^{18378914677200} is an apocalyptic number.

18378914677200 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 18378914677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45266314199040).

18378914677200 is an abundant number, since it is smaller than the sum of its proper divisors (72153713720880).

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

18378914677200 is a wasteful number, since it uses less digits than its factorization.

18378914677200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 18378914677200 in words is "eighteen trillion, three hundred seventy-eight billion, nine hundred fourteen million, six hundred seventy-seven thousand, two hundred".