22663349304120 has 512 divisors, whose sum is σ = 91433044684800. Its totient is φ = 4874524655616.

The previous prime is 22663349304119. The next prime is 22663349304131. The reversal of 22663349304120 is 2140394336622.

22663349304120 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 33 + 493 + 0 + 4 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 804135549 + ... + 804163731.

It is an arithmetic number, because the mean of its divisors is an integer number (178580165400).

Almost surely, 2^{22663349304120} is an apocalyptic number.

22663349304120 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 22663349304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45716522342400).

22663349304120 is an abundant number, since it is smaller than the sum of its proper divisors (68769695380680).

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

22663349304120 is a wasteful number, since it uses less digits than its factorization.

22663349304120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34484 (or 34474 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 22663349304120 in words is "twenty-two trillion, six hundred sixty-three billion, three hundred forty-nine million, three hundred four thousand, one hundred twenty".