21917319484032 has 768 divisors, whose sum is σ = 78091322400000. Its totient is φ = 5877499428864.

The previous prime is 21917319484019. The next prime is 21917319484063. The reversal of 21917319484032 is 23048491371912.

21917319484032 is a `hidden beast` number, since 2 + 1 + 91 + 73 + 1 + 9 + 484 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21917319484032.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2545856944 + ... + 2545865552.

It is an arithmetic number, because the mean of its divisors is an integer number (101681409375).

Almost surely, 2^{21917319484032} 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 21917319484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39045661200000).

21917319484032 is an abundant number, since it is smaller than the sum of its proper divisors (56174002915968).

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

21917319484032 is a wasteful number, since it uses less digits than its factorization.

21917319484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 21917319484032 in words is "twenty-one trillion, nine hundred seventeen billion, three hundred nineteen million, four hundred eighty-four thousand, thirty-two".