225345514400 has 72 divisors (see below), whose sum is σ = 553768244064. Its totient is φ = 89541216000.

The previous prime is 225345514399. The next prime is 225345514409. The reversal of 225345514400 is 4415543522.

It is not an unprimeable number, because it can be changed into a prime (225345514409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811922 + ... + 1053521.

It is an arithmetic number, because the mean of its divisors is an integer number (7691225612).

Almost surely, 2^225345514400 is an apocalyptic number.

225345514400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225345514400 is an abundant number, since it is smaller than the sum of its proper divisors (328422729664).

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

225345514400 is a wasteful number, since it uses less digits than its factorization.

225345514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865614 (or 1865601 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 225345514400 in words is "two hundred twenty-five billion, three hundred forty-five million, five hundred fourteen thousand, four hundred".