225702686664 has 288 divisors, whose sum is σ = 757812369600. Its totient is φ = 59420874240.

The previous prime is 225702686639. The next prime is 225702686683. The reversal of 225702686664 is 466686207522.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225702686664.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56128974 + ... + 56132994.

It is an arithmetic number, because the mean of its divisors is an integer number (2631292950).

Almost surely, 2^225702686664 is an apocalyptic number.

225702686664 is a gapful number since it is divisible by the number (24) 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 225702686664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378906184800).

225702686664 is an abundant number, since it is smaller than the sum of its proper divisors (532109682936).

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

225702686664 is a wasteful number, since it uses less digits than its factorization.

225702686664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 225702686664 in words is "two hundred twenty-five billion, seven hundred two million, six hundred eighty-six thousand, six hundred sixty-four".