225515233944 has 384 divisors, whose sum is σ = 847463232000. Its totient is φ = 54069016320.

The previous prime is 225515233891. The next prime is 225515233967. The reversal of 225515233944 is 449332515522.

It is a happy number.

225515233944 is a `hidden beast` number, since 2 + 2 + 5 + 51 + 523 + 39 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225515233944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2330967 + ... + 2425785.

It is an arithmetic number, because the mean of its divisors is an integer number (2206935500).

Almost surely, 2^225515233944 is an apocalyptic number.

225515233944 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 225515233944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423731616000).

225515233944 is an abundant number, since it is smaller than the sum of its proper divisors (621947998056).

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

225515233944 is a wasteful number, since it uses less digits than its factorization.

225515233944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94876 (or 94855 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 225515233944 in words is "two hundred twenty-five billion, five hundred fifteen million, two hundred thirty-three thousand, nine hundred forty-four".