253399396464 has 320 divisors, whose sum is σ = 759731374080. Its totient is φ = 80812892160.

The previous prime is 253399396451. The next prime is 253399396483. The reversal of 253399396464 is 464693993352.

253399396464 is a `hidden beast` number, since 2 + 53 + 3 + 99 + 39 + 6 + 464 = 666.

It is a super-2 number, since 2×253399396464² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) 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 63 ways as a sum of consecutive naturals, for example, 157683949 + ... + 157685555.

It is an arithmetic number, because the mean of its divisors is an integer number (2374160544).

Almost surely, 2^253399396464 is an apocalyptic number.

253399396464 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 253399396464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379865687040).

253399396464 is an abundant number, since it is smaller than the sum of its proper divisors (506331977616).

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

253399396464 is a wasteful number, since it uses less digits than its factorization.

253399396464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1833 counting only the distinct ones).

The product of its digits is 113374080, while the sum is 63.

The spelling of 253399396464 in words is "two hundred fifty-three billion, three hundred ninety-nine million, three hundred ninety-six thousand, four hundred sixty-four".