226315425600 has 1176 divisors, whose sum is σ = 941871502080. Its totient is φ = 53001216000.

The previous prime is 226315425559. The next prime is 226315425719. The reversal of 226315425600 is 6524513622.

226315425600 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 1 + 5 + 42 + 5 + 600 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 397742116 + ... + 397742684.

Almost surely, 2^226315425600 is an apocalyptic number.

226315425600 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 226315425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470935751040).

226315425600 is an abundant number, since it is smaller than the sum of its proper divisors (715556076480).

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

226315425600 is a wasteful number, since it uses less digits than its factorization.

226315425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 226315425600 in words is "two hundred twenty-six billion, three hundred fifteen million, four hundred twenty-five thousand, six hundred".