225013553856 has 1792 divisors, whose sum is σ = 921715200000. Its totient is φ = 53258010624.

The previous prime is 225013553797. The next prime is 225013553893. The reversal of 225013553856 is 658355310522.

225013553856 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 13 + 553 + 85 + 6 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4245538726 + ... + 4245538778.

It is an arithmetic number, because the mean of its divisors is an integer number (514350000).

Almost surely, 2^225013553856 is an apocalyptic number.

225013553856 is a gapful number since it is divisible by the number (26) 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 225013553856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460857600000).

225013553856 is an abundant number, since it is smaller than the sum of its proper divisors (696701646144).

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

225013553856 is a wasteful number, since it uses less digits than its factorization.

225013553856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 225013553856 in words is "two hundred twenty-five billion, thirteen million, five hundred fifty-three thousand, eight hundred fifty-six".