253873738944 has 448 divisors, whose sum is σ = 868179640320. Its totient is φ = 71249310720.

The previous prime is 253873738931. The next prime is 253873739023. The reversal of 253873738944 is 449837378352.

253873738944 is a `hidden beast` number, since 2 + 538 + 7 + 3 + 7 + 3 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 418243089 + ... + 418243695.

Almost surely, 2^253873738944 is an apocalyptic number.

253873738944 is a gapful number since it is divisible by the number (24) 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 253873738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434089820160).

253873738944 is an abundant number, since it is smaller than the sum of its proper divisors (614305901376).

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

253873738944 is a wasteful number, since it uses less digits than its factorization.

253873738944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1177 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 253873738944 in words is "two hundred fifty-three billion, eight hundred seventy-three million, seven hundred thirty-eight thousand, nine hundred forty-four".