225374192640 has 440 divisors, whose sum is σ = 819768673152. Its totient is φ = 59195473920.

The previous prime is 225374192623. The next prime is 225374192651. The reversal of 225374192640 is 46291473522.

225374192640 is a `hidden beast` number, since 2 + 2 + 5 + 374 + 19 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27782185 + ... + 27790295.

Almost surely, 2^225374192640 is an apocalyptic number.

225374192640 is a gapful number since it is divisible by the number (20) 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 225374192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409884336576).

225374192640 is an abundant number, since it is smaller than the sum of its proper divisors (594394480512).

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

225374192640 is an equidigital number, since it uses as much as digits as its factorization.

225374192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8215 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 225374192640 in words is "two hundred twenty-five billion, three hundred seventy-four million, one hundred ninety-two thousand, six hundred forty".