18724466896128 has 864 divisors, whose sum is σ = 66791931897600. Its totient is φ = 5025371258880.

The previous prime is 18724466896097. The next prime is 18724466896151. The reversal of 18724466896128 is 82169866442781.

18724466896128 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 4 + 466 + 89 + 61 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9283324176 + ... + 9283326192.

Almost surely, 2^{18724466896128} is an apocalyptic number.

18724466896128 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 18724466896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33395965948800).

18724466896128 is an abundant number, since it is smaller than the sum of its proper divisors (48067465001472).

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

18724466896128 is a wasteful number, since it uses less digits than its factorization.

18724466896128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2737 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 18724466896128 in words is "eighteen trillion, seven hundred twenty-four billion, four hundred sixty-six million, eight hundred ninety-six thousand, one hundred twenty-eight".