225524009984 has 528 divisors, whose sum is σ = 614720977920. Its totient is φ = 81656709120.

The previous prime is 225524009939. The next prime is 225524009993. The reversal of 225524009984 is 489900425522.

It is a happy number.

It is a super-2 number, since 2×225524009984² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384197339 + ... + 384197925.

Almost surely, 2^225524009984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225524009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307360488960).

225524009984 is an abundant number, since it is smaller than the sum of its proper divisors (389196967936).

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

225524009984 is a wasteful number, since it uses less digits than its factorization.

225524009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 225524009984 in words is "two hundred twenty-five billion, five hundred twenty-four million, nine thousand, nine hundred eighty-four".