225515431115000 has 480 divisors, whose sum is σ = 611695781817120. Its totient is φ = 77607788544000.

The previous prime is 225515431114903. The next prime is 225515431115033. The reversal of 225515431115000 is 511134515522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1479518792 + ... + 1479671208.

It is an arithmetic number, because the mean of its divisors is an integer number (1274366212119).

Almost surely, 2^{225515431115000} is an apocalyptic number.

225515431115000 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 225515431115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305847890908560).

225515431115000 is an abundant number, since it is smaller than the sum of its proper divisors (386180350702120).

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

225515431115000 is a wasteful number, since it uses less digits than its factorization.

225515431115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152589 (or 152557 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 225515431115000 in words is "two hundred twenty-five trillion, five hundred fifteen billion, four hundred thirty-one million, one hundred fifteen thousand".