226902924864 has 504 divisors, whose sum is σ = 852952259040. Its totient is φ = 58933163520.

The previous prime is 226902924851. The next prime is 226902924869. The reversal of 226902924864 is 468429209622.

226902924864 is a `hidden beast` number, since 226 + 90 + 292 + 48 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 226902924864.

It is not an unprimeable number, because it can be changed into a prime (226902924869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10234239 + ... + 10256385.

Almost surely, 2^226902924864 is an apocalyptic number.

226902924864 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 226902924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426476129520).

226902924864 is an abundant number, since it is smaller than the sum of its proper divisors (626049334176).

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

226902924864 is a wasteful number, since it uses less digits than its factorization.

226902924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22204 (or 22170 counting only the distinct ones).

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

The spelling of 226902924864 in words is "two hundred twenty-six billion, nine hundred two million, nine hundred twenty-four thousand, eight hundred sixty-four".