21906346524768 has 576 divisors, whose sum is σ = 68879369744640. Its totient is φ = 6824954806272.

The previous prime is 21906346524743. The next prime is 21906346524787. The reversal of 21906346524768 is 86742564360912.

21906346524768 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 6 + 3 + 46 + 524 + 7 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17074314655 + ... + 17074315937.

It is an arithmetic number, because the mean of its divisors is an integer number (119582239140).

It is a 1-persistent number, because it is pandigital, but 2⋅21906346524768 = 43812693049536 is not.

Almost surely, 2^{21906346524768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21906346524768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34439684872320).

21906346524768 is an abundant number, since it is smaller than the sum of its proper divisors (46973023219872).

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

21906346524768 is a wasteful number, since it uses less digits than its factorization.

21906346524768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 21906346524768 in words is "twenty-one trillion, nine hundred six billion, three hundred forty-six million, five hundred twenty-four thousand, seven hundred sixty-eight".