22861641432960 has 2048 divisors, whose sum is σ = 93097009152000. Its totient is φ = 5253341184000.

The previous prime is 22861641432913. The next prime is 22861641432983. The reversal of 22861641432960 is 6923414616822.

22861641432960 is a `hidden beast` number, since 2 + 2 + 8 + 61 + 64 + 1 + 432 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22861641432897 and 22861641432906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43712507259 + ... + 43712507781.

It is an arithmetic number, because the mean of its divisors is an integer number (45457524000).

Almost surely, 2^{22861641432960} is an apocalyptic number.

22861641432960 is a gapful number since it is divisible by the number (20) 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 22861641432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46548504576000).

22861641432960 is an abundant number, since it is smaller than the sum of its proper divisors (70235367719040).

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

22861641432960 is a wasteful number, since it uses less digits than its factorization.

22861641432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 22861641432960 in words is "twenty-two trillion, eight hundred sixty-one billion, six hundred forty-one million, four hundred thirty-two thousand, nine hundred sixty".