253345117644 has 72 divisors (see below), whose sum is σ = 655708697280. Its totient is φ = 82438912512.

The previous prime is 253345117633. The next prime is 253345117673. The reversal of 253345117644 is 446711543352.

253345117644 is a `hidden beast` number, since 2 + 533 + 4 + 5 + 1 + 1 + 76 + 44 = 666.

It is a super-2 number, since 2×253345117644² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253345117644.

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 23 ways as a sum of consecutive naturals, for example, 465732 + ... + 850644.

It is an arithmetic number, because the mean of its divisors is an integer number (9107065240).

Almost surely, 2^253345117644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253345117644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327854348640).

253345117644 is an abundant number, since it is smaller than the sum of its proper divisors (402363579636).

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

253345117644 is a wasteful number, since it uses less digits than its factorization.

253345117644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385359 (or 385354 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 253345117644 in words is "two hundred fifty-three billion, three hundred forty-five million, one hundred seventeen thousand, six hundred forty-four".