226536234634400 has 288 divisors, whose sum is σ = 583030883635200. Its totient is φ = 85713821568000.

The previous prime is 226536234634379. The next prime is 226536234634529. The reversal of 226536234634400 is 4436432635622.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40287429989 + ... + 40287435611.

It is an arithmetic number, because the mean of its divisors is an integer number (2024412790400).

Almost surely, 2^{226536234634400} is an apocalyptic number.

226536234634400 is a gapful number since it is divisible by the number (20) 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 226536234634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291515441817600).

226536234634400 is an abundant number, since it is smaller than the sum of its proper divisors (356494649000800).

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

226536234634400 is a wasteful number, since it uses less digits than its factorization.

226536234634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9252 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 50.

The spelling of 226536234634400 in words is "two hundred twenty-six trillion, five hundred thirty-six billion, two hundred thirty-four million, six hundred thirty-four thousand, four hundred".