21923422701768 has 960 divisors, whose sum is σ = 79891228454400. Its totient is φ = 5572338831360.

The previous prime is 21923422701707. The next prime is 21923422701773. The reversal of 21923422701768 is 86710722432912.

21923422701768 is a `hidden beast` number, since 2 + 1 + 92 + 3 + 422 + 70 + 1 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 719516838 + ... + 719547306.

It is an arithmetic number, because the mean of its divisors is an integer number (83220029640).

Almost surely, 2^{21923422701768} is an apocalyptic number.

21923422701768 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 21923422701768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39945614227200).

21923422701768 is an abundant number, since it is smaller than the sum of its proper divisors (57967805752632).

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

21923422701768 is a wasteful number, since it uses less digits than its factorization.

21923422701768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30592 (or 30572 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 21923422701768 in words is "twenty-one trillion, nine hundred twenty-three billion, four hundred twenty-two million, seven hundred one thousand, seven hundred sixty-eight".