253225354464 has 144 divisors (see below), whose sum is σ = 748615598640. Its totient is φ = 84201016320.

The previous prime is 253225354457. The next prime is 253225354469. The reversal of 253225354464 is 464453522352.

253225354464 is a `hidden beast` number, since 2 + 53 + 2 + 2 + 53 + 544 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253225354469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3140574 + ... + 3220194.

It is an arithmetic number, because the mean of its divisors is an integer number (5198719435).

Almost surely, 2^253225354464 is an apocalyptic number.

253225354464 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 253225354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374307799320).

253225354464 is an abundant number, since it is smaller than the sum of its proper divisors (495390244176).

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

253225354464 is an equidigital number, since it uses as much as digits as its factorization.

253225354464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80055 (or 80035 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

The spelling of 253225354464 in words is "two hundred fifty-three billion, two hundred twenty-five million, three hundred fifty-four thousand, four hundred sixty-four".