253899085456 has 45 divisors (see below), whose sum is σ = 514341549001. Its totient is φ = 121407826496.

The previous prime is 253899085409. The next prime is 253899085483. The reversal of 253899085456 is 654580998352.

The square root of 253899085456 is 503884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 253713690000 + 185395456 = 503700^2 + 13616^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46354590 + ... + 46360066.

Almost surely, 2^253899085456 is an apocalyptic number.

253899085456 is the 503884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253899085456

253899085456 is an abundant number, since it is smaller than the sum of its proper divisors (260442463545).

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

253899085456 is an frugal number, since it uses more digits than its factorization.

253899085456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 64.

Multiplying 253899085456 by its sum of digits (64), we get a square (16249541469184 = 4031072²).

The spelling of 253899085456 in words is "two hundred fifty-three billion, eight hundred ninety-nine million, eighty-five thousand, four hundred fifty-six".