18326956418400 has 576 divisors, whose sum is σ = 73433499955200. Its totient is φ = 3876249323520.

The previous prime is 18326956418371. The next prime is 18326956418429. The reversal of 18326956418400 is 481465962381.

It is an interprime number because it is at equal distance from previous prime (18326956418371) and next prime (18326956418429).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13057981 + ... + 14393219.

It is an arithmetic number, because the mean of its divisors is an integer number (127488715200).

Almost surely, 2^{18326956418400} is an apocalyptic number.

18326956418400 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 18326956418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36716749977600).

18326956418400 is an abundant number, since it is smaller than the sum of its proper divisors (55106543536800).

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

18326956418400 is a wasteful number, since it uses less digits than its factorization.

18326956418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335331 (or 1335318 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 18326956418400 in words is "eighteen trillion, three hundred twenty-six billion, nine hundred fifty-six million, four hundred eighteen thousand, four hundred".