226752215961600 has 3744 divisors, whose sum is σ = 1034149947667200. Its totient is φ = 48066220523520.

The previous prime is 226752215961577. The next prime is 226752215961637. The reversal of 226752215961600 is 6169512257622.

226752215961600 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 5 + 2 + 2 + 15 + 9 + 616 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 216160357876 + ... + 216160358924.

It is an arithmetic number, because the mean of its divisors is an integer number (276215263800).

Almost surely, 2^{226752215961600} is an apocalyptic number.

226752215961600 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 226752215961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517074973833600).

226752215961600 is an abundant number, since it is smaller than the sum of its proper divisors (807397731705600).

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

226752215961600 is a wasteful number, since it uses less digits than its factorization.

226752215961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 226752215961600 in words is "two hundred twenty-six trillion, seven hundred fifty-two billion, two hundred fifteen million, nine hundred sixty-one thousand, six hundred".