253654456352 has 96 divisors (see below), whose sum is σ = 569341301760. Its totient is φ = 110114878720.

The previous prime is 253654456331. The next prime is 253654456357.

It is a happy number.

253654456352 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 253654456352.

It is not an unprimeable number, because it can be changed into a prime (253654456357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5311493 + ... + 5359035.

It is an arithmetic number, because the mean of its divisors is an integer number (5930638560).

Almost surely, 2^253654456352 is an apocalyptic number.

253654456352 is a gapful number since it is divisible by the number (22) 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 253654456352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284670650880).

253654456352 is an abundant number, since it is smaller than the sum of its proper divisors (315686845408).

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

253654456352 is a wasteful number, since it uses less digits than its factorization.

253654456352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48246 (or 48238 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 50.

The spelling of 253654456352 in words is "two hundred fifty-three billion, six hundred fifty-four million, four hundred fifty-six thousand, three hundred fifty-two".