22313075630400 has 1008 divisors, whose sum is σ = 84091251029760. Its totient is φ = 5595899904000.

The previous prime is 22313075630371. The next prime is 22313075630473. The reversal of 22313075630400 is 403657031322.

22313075630400 is a `hidden beast` number, since 2 + 2 + 3 + 13 + 0 + 7 + 5 + 630 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×22313075630400³ (a number of 41 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 31830350050 + ... + 31830350750.

Almost surely, 2^{22313075630400} is an apocalyptic number.

22313075630400 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 22313075630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42045625514880).

22313075630400 is an abundant number, since it is smaller than the sum of its proper divisors (61778175399360).

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

22313075630400 is a wasteful number, since it uses less digits than its factorization.

22313075630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 22313075630400 in words is "twenty-two trillion, three hundred thirteen billion, seventy-five million, six hundred thirty thousand, four hundred".