22311390112704 has 2016 divisors, whose sum is σ = 90513377398080. Its totient is φ = 5349149245440.

The previous prime is 22311390112667. The next prime is 22311390112733. The reversal of 22311390112704 is 40721109311322.

22311390112704 is a `hidden beast` number, since 2 + 231 + 1 + 390 + 11 + 27 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×22311390112704³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9231024904 + ... + 9231027320.

It is an arithmetic number, because the mean of its divisors is an integer number (44897508630).

Almost surely, 2^{22311390112704} is an apocalyptic number.

22311390112704 is a gapful number since it is divisible by the number (24) 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 22311390112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45256688699040).

22311390112704 is an abundant number, since it is smaller than the sum of its proper divisors (68201987285376).

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

22311390112704 is a wasteful number, since it uses less digits than its factorization.

22311390112704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 22311390112704 in words is "twenty-two trillion, three hundred eleven billion, three hundred ninety million, one hundred twelve thousand, seven hundred four".