18746838072000 has 896 divisors, whose sum is σ = 74736062668800. Its totient is φ = 4583236608000.

The previous prime is 18746838071987. The next prime is 18746838072049. The reversal of 18746838072000 is 27083864781.

It is a happy number.

18746838072000 is a `hidden beast` number, since 1 + 87 + 468 + 3 + 80 + 7 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127150324 + ... + 127297676.

Almost surely, 2^{18746838072000} is an apocalyptic number.

18746838072000 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 18746838072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37368031334400).

18746838072000 is an abundant number, since it is smaller than the sum of its proper divisors (55989224596800).

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

18746838072000 is a wasteful number, since it uses less digits than its factorization.

18746838072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147439 (or 147413 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 18746838072000 in words is "eighteen trillion, seven hundred forty-six billion, eight hundred thirty-eight million, seventy-two thousand".