18463968230400 has 4752 divisors, whose sum is σ = 92190248375040. Its totient is φ = 3517489152000.

The previous prime is 18463968230363. The next prime is 18463968230413. The reversal of 18463968230400 is 403286936481.

18463968230400 is a `hidden beast` number, since 1 + 8 + 46 + 3 + 96 + 82 + 30 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 595611878385 + ... + 595611878415.

Almost surely, 2^{18463968230400} is an apocalyptic number.

18463968230400 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 18463968230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46095124187520).

18463968230400 is an abundant number, since it is smaller than the sum of its proper divisors (73726280144640).

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

18463968230400 is a wasteful number, since it uses less digits than its factorization.

18463968230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 18463968230400 in words is "eighteen trillion, four hundred sixty-three billion, nine hundred sixty-eight million, two hundred thirty thousand, four hundred".