225261820772352 has 2720 divisors, whose sum is σ = 884158241809920. Its totient is φ = 55725627801600.

The previous prime is 225261820772347. The next prime is 225261820772399. The reversal of 225261820772352 is 253277028162522.

225261820772352 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 6 + 18 + 207 + 72 + 352 = 666.

It is a super-2 number, since 2×225261820772352² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2230315057102 + ... + 2230315057202.

It is an arithmetic number, because the mean of its divisors is an integer number (325058177136).

Almost surely, 2^{225261820772352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225261820772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442079120904960).

225261820772352 is an abundant number, since it is smaller than the sum of its proper divisors (658896421037568).

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

225261820772352 is an frugal number, since it uses more digits than its factorization.

225261820772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 225261820772352 in words is "two hundred twenty-five trillion, two hundred sixty-one billion, eight hundred twenty million, seven hundred seventy-two thousand, three hundred fifty-two".