225756517971480 has 128 divisors (see below), whose sum is σ = 681827127275520. Its totient is φ = 59797557227520.

The previous prime is 225756517971401. The next prime is 225756517971547. The reversal of 225756517971480 is 84179715657522.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 8107359 + ... + 22742961.

It is an arithmetic number, because the mean of its divisors is an integer number (5326774431840).

Almost surely, 2^{225756517971480} is an apocalyptic number.

225756517971480 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 225756517971480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340913563637760).

225756517971480 is an abundant number, since it is smaller than the sum of its proper divisors (456070609304040).

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

225756517971480 is a wasteful number, since it uses less digits than its factorization.

225756517971480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14636481 (or 14636477 counting only the distinct ones).

The product of its (nonzero) digits is 296352000, while the sum is 69.

The spelling of 225756517971480 in words is "two hundred twenty-five trillion, seven hundred fifty-six billion, five hundred seventeen million, nine hundred seventy-one thousand, four hundred eighty".