22313639040000 has 1320 divisors, whose sum is σ = 93365818924224. Its totient is φ = 4636262400000.

The previous prime is 22313639039983. The next prime is 22313639040023. The reversal of 22313639040000 is 4093631322.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a super-3 number, since 3×22313639040000³ (a number of 41 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1626233140 + ... + 1626246860.

Almost surely, 2^{22313639040000} is an apocalyptic number.

22313639040000 is a gapful number since it is divisible by the number (20) 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 22313639040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46682909462112).

22313639040000 is an abundant number, since it is smaller than the sum of its proper divisors (71052179884224).

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

22313639040000 is a wasteful number, since it uses less digits than its factorization.

22313639040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 22313639040000 in words is "twenty-two trillion, three hundred thirteen billion, six hundred thirty-nine million, forty thousand".