18343104998400 has 2772 divisors, whose sum is σ = 85457441384112. Its totient is φ = 3867685355520.

The previous prime is 18343104998363. The next prime is 18343104998431. The reversal of 18343104998400 is 489940134381.

18343104998400 is a `hidden beast` number, since 1 + 8 + 3 + 43 + 104 + 9 + 98 + 400 = 666.

It is a super-3 number, since 3×18343104998400³ (a number of 41 digits) contains 333 as substring.

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 251 ways as a sum of consecutive naturals, for example, 11887948029 + ... + 11887949571.

Almost surely, 2^{18343104998400} is an apocalyptic number.

18343104998400 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 18343104998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42728720692056).

18343104998400 is an abundant number, since it is smaller than the sum of its proper divisors (67114336385712).

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

18343104998400 is a wasteful number, since it uses less digits than its factorization.

18343104998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 18343104998400 in words is "eighteen trillion, three hundred forty-three billion, one hundred four million, nine hundred ninety-eight thousand, four hundred".