18311279968800 has 2592 divisors, whose sum is σ = 86795647848000. Its totient is φ = 3729523875840.

The previous prime is 18311279968799. The next prime is 18311279968837. The reversal of 18311279968800 is 886997211381.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×18311279968800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3591148651 + ... + 3591153749.

It is an arithmetic number, because the mean of its divisors is an integer number (33485975250).

Almost surely, 2^{18311279968800} is an apocalyptic number.

18311279968800 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 18311279968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43397823924000).

18311279968800 is an abundant number, since it is smaller than the sum of its proper divisors (68484367879200).

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

18311279968800 is a wasteful number, since it uses less digits than its factorization.

18311279968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 18311279968800 in words is "eighteen trillion, three hundred eleven billion, two hundred seventy-nine million, nine hundred sixty-eight thousand, eight hundred".