22691792559408 has 640 divisors, whose sum is σ = 76660693401600. Its totient is φ = 5629701242880.

The previous prime is 22691792559407. The next prime is 22691792559409. The reversal of 22691792559408 is 80495529719622.

It is an interprime number because it is at equal distance from previous prime (22691792559407) and next prime (22691792559409).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (22691792559407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1250296318 + ... + 1250314466.

It is an arithmetic number, because the mean of its divisors is an integer number (119782333440).

Almost surely, 2^{22691792559408} is an apocalyptic number.

22691792559408 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 22691792559408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38330346700800).

22691792559408 is an abundant number, since it is smaller than the sum of its proper divisors (53968900842192).

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

22691792559408 is a wasteful number, since it uses less digits than its factorization.

22691792559408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 69.

The spelling of 22691792559408 in words is "twenty-two trillion, six hundred ninety-one billion, seven hundred ninety-two million, five hundred fifty-nine thousand, four hundred eight".