22484704644864 has 1296 divisors, whose sum is σ = 87326824515840. Its totient is φ = 5402752450560.

The previous prime is 22484704644841. The next prime is 22484704644889. The reversal of 22484704644864 is 46844640748422.

22484704644864 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 4 + 70 + 464 + 48 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3024980092 + ... + 3024987524.

It is an arithmetic number, because the mean of its divisors is an integer number (67381809040).

Almost surely, 2^{22484704644864} is an apocalyptic number.

22484704644864 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 22484704644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43663412257920).

22484704644864 is an abundant number, since it is smaller than the sum of its proper divisors (64842119870976).

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

22484704644864 is a wasteful number, since it uses less digits than its factorization.

22484704644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7532 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 63.

The spelling of 22484704644864 in words is "twenty-two trillion, four hundred eighty-four billion, seven hundred four million, six hundred forty-four thousand, eight hundred sixty-four".