18889657974000 has 1920 divisors, whose sum is σ = 76594347648000. Its totient is φ = 4461060096000.

The previous prime is 18889657973957. The next prime is 18889657974029. The reversal of 18889657974000 is 47975698881.

18889657974000 is a `hidden beast` number, since 1 + 8 + 8 + 8 + 9 + 6 + 579 + 7 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18889657974000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37855025751 + ... + 37855026249.

It is an arithmetic number, because the mean of its divisors is an integer number (39892889400).

Almost surely, 2^{18889657974000} is an apocalyptic number.

18889657974000 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 18889657974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38297173824000).

18889657974000 is an abundant number, since it is smaller than the sum of its proper divisors (57704689674000).

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

18889657974000 is a wasteful number, since it uses less digits than its factorization.

18889657974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 18889657974000 in words is "eighteen trillion, eight hundred eighty-nine billion, six hundred fifty-seven million, nine hundred seventy-four thousand".