225510992150528 has 512 divisors, whose sum is σ = 547801834782720. Its totient is φ = 90777735659520.

The previous prime is 225510992150467. The next prime is 225510992150539. The reversal of 225510992150528 is 825051299015522.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 143912566001 + ... + 143912567567.

It is an arithmetic number, because the mean of its divisors is an integer number (1069925458560).

Almost surely, 2^{225510992150528} is an apocalyptic number.

225510992150528 is a gapful number since it is divisible by the number (28) 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 225510992150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273900917391360).

225510992150528 is an abundant number, since it is smaller than the sum of its proper divisors (322290842632192).

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

225510992150528 is an equidigital number, since it uses as much as digits as its factorization.

225510992150528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 56.

The spelling of 225510992150528 in words is "two hundred twenty-five trillion, five hundred ten billion, nine hundred ninety-two million, one hundred fifty thousand, five hundred twenty-eight".