226505715321600 has 2592 divisors, whose sum is σ = 994592731991040. Its totient is φ = 48392847360000.

The previous prime is 226505715321581. The next prime is 226505715321629. The reversal of 226505715321600 is 6123517505622.

It is a happy number.

226505715321600 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 0 + 5 + 7 + 1 + 5 + 32 + 1 + 600 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 174101240950 + ... + 174101242250.

Almost surely, 2^{226505715321600} is an apocalyptic number.

226505715321600 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 226505715321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497296365995520).

226505715321600 is an abundant number, since it is smaller than the sum of its proper divisors (768087016669440).

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

226505715321600 is a wasteful number, since it uses less digits than its factorization.

226505715321600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 226505715321600 in words is "two hundred twenty-six trillion, five hundred five billion, seven hundred fifteen million, three hundred twenty-one thousand, six hundred".