22405545864 has 576 divisors, whose sum is σ = 76271932800. Its totient is φ = 6045684480.

The previous prime is 22405545863. The next prime is 22405545919. The reversal of 22405545864 is 46854550422.

22405545864 is a `hidden beast` number, since 2 + 2 + 40 + 5 + 545 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22405545863) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 722759529 + ... + 722759559.

It is an arithmetic number, because the mean of its divisors is an integer number (132416550).

Almost surely, 2^22405545864 is an apocalyptic number.

22405545864 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 22405545864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38135966400).

22405545864 is an abundant number, since it is smaller than the sum of its proper divisors (53866386936).

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

22405545864 is a wasteful number, since it uses less digits than its factorization.

22405545864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 22405545864 in words is "twenty-two billion, four hundred five million, five hundred forty-five thousand, eight hundred sixty-four".