21623217994224 has 960 divisors, whose sum is σ = 81226134528000. Its totient is φ = 5385072844800.

The previous prime is 21623217994211. The next prime is 21623217994241. The reversal of 21623217994224 is 42249971232612.

It is a happy number.

21623217994224 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 321 + 7 + 9 + 94 + 224 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1236380872 + ... + 1236398360.

It is an arithmetic number, because the mean of its divisors is an integer number (84610556800).

Almost surely, 2^{21623217994224} is an apocalyptic number.

21623217994224 is a gapful number since it is divisible by the number (24) 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 21623217994224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40613067264000).

21623217994224 is an abundant number, since it is smaller than the sum of its proper divisors (59602916533776).

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

21623217994224 is a wasteful number, since it uses less digits than its factorization.

21623217994224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17675 (or 17652 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 21623217994224 in words is "twenty-one trillion, six hundred twenty-three billion, two hundred seventeen million, nine hundred ninety-four thousand, two hundred twenty-four".