22623390816768 has 1280 divisors, whose sum is σ = 83269510410240. Its totient is φ = 5918204362752.

The previous prime is 22623390816743. The next prime is 22623390816821. The reversal of 22623390816768 is 86761809332622.

It is a happy number.

22623390816768 is a `hidden beast` number, since 2 + 2 + 6 + 23 + 390 + 8 + 167 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9148155180 + ... + 9148157652.

It is an arithmetic number, because the mean of its divisors is an integer number (65054305008).

Almost surely, 2^{22623390816768} is an apocalyptic number.

22623390816768 is a gapful number since it is divisible by the number (28) 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 22623390816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41634755205120).

22623390816768 is an abundant number, since it is smaller than the sum of its proper divisors (60646119593472).

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

22623390816768 is a wasteful number, since it uses less digits than its factorization.

22623390816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 22623390816768 in words is "twenty-two trillion, six hundred twenty-three billion, three hundred ninety million, eight hundred sixteen thousand, seven hundred sixty-eight".