23226605226864 has 640 divisors, whose sum is σ = 77614232371200. Its totient is φ = 6590678814720.

The previous prime is 23226605226767. The next prime is 23226605226871. The reversal of 23226605226864 is 46862250662232.

23226605226864 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 6 + 605 + 2 + 26 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23226605226864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2835621009 + ... + 2835629199.

It is an arithmetic number, because the mean of its divisors is an integer number (121272238080).

Almost surely, 2^{23226605226864} is an apocalyptic number.

23226605226864 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 23226605226864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38807116185600).

23226605226864 is an abundant number, since it is smaller than the sum of its proper divisors (54387627144336).

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

23226605226864 is a wasteful number, since it uses less digits than its factorization.

23226605226864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 9018 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 23226605226864 in words is "twenty-three trillion, two hundred twenty-six billion, six hundred five million, two hundred twenty-six thousand, eight hundred sixty-four".