253443343344352 has 48 divisors (see below), whose sum is σ = 570685837956192. Its totient is φ = 108535087065600.

The previous prime is 253443343344337. The next prime is 253443343344353.

It is a happy number.

253443343344352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 253443343344352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253443343344353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434544663 + ... + 435127510.

It is an arithmetic number, because the mean of its divisors is an integer number (11889288290754).

Almost surely, 2^{253443343344352} is an apocalyptic number.

It is an amenable number.

253443343344352 is an abundant number, since it is smaller than the sum of its proper divisors (317242494611840).

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

253443343344352 is a wasteful number, since it uses less digits than its factorization.

253443343344352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869673491 (or 869673483 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 52.

The spelling of 253443343344352 in words is "two hundred fifty-three trillion, four hundred forty-three billion, three hundred forty-three million, three hundred forty-four thousand, three hundred fifty-two".