18639746048000 has 672 divisors, whose sum is σ = 58443536721024. Its totient is φ = 5809520640000.

The previous prime is 18639746047987. The next prime is 18639746048017. The reversal of 18639746048000 is 84064793681.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867317255 + ... + 867338745.

It is an arithmetic number, because the mean of its divisors is an integer number (86969548692).

Almost surely, 2^{18639746048000} is an apocalyptic number.

18639746048000 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 18639746048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29221768360512).

18639746048000 is an abundant number, since it is smaller than the sum of its proper divisors (39803790673024).

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

18639746048000 is an equidigital number, since it uses as much as digits as its factorization.

18639746048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21561 (or 21516 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 18639746048000 in words is "eighteen trillion, six hundred thirty-nine billion, seven hundred forty-six million, forty-eight thousand".