225750964375104 has 224 divisors, whose sum is σ = 698538183653376. Its totient is φ = 62997094379520.

The previous prime is 225750964375021. The next prime is 225750964375133. The reversal of 225750964375104 is 401573469057522.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293933444 + ... + 1294107900.

Almost surely, 2^{225750964375104} is an apocalyptic number.

225750964375104 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 225750964375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349269091826688).

225750964375104 is an abundant number, since it is smaller than the sum of its proper divisors (472787219278272).

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

225750964375104 is a wasteful number, since it uses less digits than its factorization.

225750964375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196913 (or 196903 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 225750964375104 in words is "two hundred twenty-five trillion, seven hundred fifty billion, nine hundred sixty-four million, three hundred seventy-five thousand, one hundred four".