253223464322352 has 80 divisors (see below), whose sum is σ = 698288574885120. Its totient is φ = 78839032608000.

The previous prime is 253223464322267. The next prime is 253223464322429.

253223464322352 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1955268399 + ... + 1955397902.

It is an arithmetic number, because the mean of its divisors is an integer number (8728607186064).

Almost surely, 2^{253223464322352} is an apocalyptic number.

It is an amenable number.

253223464322352 is an abundant number, since it is smaller than the sum of its proper divisors (445065110562768).

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

253223464322352 is a wasteful number, since it uses less digits than its factorization.

253223464322352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910666402 (or 3910666396 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 48.

The spelling of 253223464322352 in words is "two hundred fifty-three trillion, two hundred twenty-three billion, four hundred sixty-four million, three hundred twenty-two thousand, three hundred fifty-two".