253793116416 has 144 divisors (see below), whose sum is σ = 817363419264. Its totient is φ = 68246863872.

The previous prime is 253793116349. The next prime is 253793116439. The reversal of 253793116416 is 614611397352.

253793116416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297095 + ... + 1479878.

It is an arithmetic number, because the mean of its divisors is an integer number (5676134856).

Almost surely, 2^253793116416 is an apocalyptic number.

It is an amenable number.

253793116416 is an abundant number, since it is smaller than the sum of its proper divisors (563570302848).

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

253793116416 is a wasteful number, since it uses less digits than its factorization.

253793116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777016 (or 2777002 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 253793116416 in words is "two hundred fifty-three billion, seven hundred ninety-three million, one hundred sixteen thousand, four hundred sixteen".