22268405867904 has 192 divisors, whose sum is σ = 73672425066240. Its totient is φ = 6324303080448.

The previous prime is 22268405867821. The next prime is 22268405867921. The reversal of 22268405867904 is 40976850486222.

22268405867904 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 8 + 40 + 586 + 7 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6921154 + ... + 9614529.

It is an arithmetic number, because the mean of its divisors is an integer number (383710547220).

Almost surely, 2^{22268405867904} is an apocalyptic number.

22268405867904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22268405867904 is an abundant number, since it is smaller than the sum of its proper divisors (51404019198336).

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

22268405867904 is a wasteful number, since it uses less digits than its factorization.

22268405867904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16535877 (or 16535862 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 22268405867904 in words is "twenty-two trillion, two hundred sixty-eight billion, four hundred five million, eight hundred sixty-seven thousand, nine hundred four".