225023425704 has 768 divisors, whose sum is σ = 826042613760. Its totient is φ = 55683936000.

The previous prime is 225023425699. The next prime is 225023425727. The reversal of 225023425704 is 407524320522.

225023425704 is a `hidden beast` number, since 2 + 2 + 50 + 2 + 34 + 2 + 570 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 329462947 + ... + 329463629.

It is an arithmetic number, because the mean of its divisors is an integer number (1075576320).

Almost surely, 2^225023425704 is an apocalyptic number.

225023425704 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 225023425704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413021306880).

225023425704 is an abundant number, since it is smaller than the sum of its proper divisors (601019188056).

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

225023425704 is a wasteful number, since it uses less digits than its factorization.

225023425704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 225023425704 in words is "two hundred twenty-five billion, twenty-three million, four hundred twenty-five thousand, seven hundred four".