225651536656 has 160 divisors (see below), whose sum is σ = 556289395200. Its totient is φ = 86289960960.

The previous prime is 225651536641. The next prime is 225651536683. The reversal of 225651536656 is 656635156522.

It is a happy number.

It is a super-2 number, since 2×225651536656² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6489525 + ... + 6524203.

It is an arithmetic number, because the mean of its divisors is an integer number (3476808720).

Almost surely, 2^225651536656 is an apocalyptic number.

225651536656 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 225651536656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278144697600).

225651536656 is an abundant number, since it is smaller than the sum of its proper divisors (330637858544).

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

225651536656 is a wasteful number, since it uses less digits than its factorization.

225651536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34857 (or 34851 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 52.

The spelling of 225651536656 in words is "two hundred twenty-five billion, six hundred fifty-one million, five hundred thirty-six thousand, six hundred fifty-six".