22313766806400 has 192 divisors, whose sum is σ = 73503292831920. Its totient is φ = 5949744906240.

The previous prime is 22313766806381. The next prime is 22313766806437. The reversal of 22313766806400 is 460866731322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22313766806400³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22313766806400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100814254 + ... + 101035346.

Almost surely, 2^{22313766806400} is an apocalyptic number.

22313766806400 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 22313766806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36751646415960).

22313766806400 is an abundant number, since it is smaller than the sum of its proper divisors (51189526025520).

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

22313766806400 is a wasteful number, since it uses less digits than its factorization.

22313766806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231633 (or 231616 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 22313766806400 in words is "twenty-two trillion, three hundred thirteen billion, seven hundred sixty-six million, eight hundred six thousand, four hundred".