22655305667904 has 1344 divisors, whose sum is σ = 79058830878720. Its totient is φ = 5669474549760.

The previous prime is 22655305667893. The next prime is 22655305667933. The reversal of 22655305667904 is 40976650355622.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 34378308727 + ... + 34378309385.

It is an arithmetic number, because the mean of its divisors is an integer number (58823534880).

Almost surely, 2^{22655305667904} is an apocalyptic number.

22655305667904 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 22655305667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39529415439360).

22655305667904 is an abundant number, since it is smaller than the sum of its proper divisors (56403525210816).

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

22655305667904 is a wasteful number, since it uses less digits than its factorization.

22655305667904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 22655305667904 in words is "twenty-two trillion, six hundred fifty-five billion, three hundred five million, six hundred sixty-seven thousand, nine hundred four".