251413114144 has 24 divisors (see below), whose sum is σ = 506480491440. Its totient is φ = 122783148096.

The previous prime is 251413114129. The next prime is 251413114151. The reversal of 251413114144 is 441411314152.

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 3 ways as a sum of consecutive naturals, for example, 91355134 + ... + 91357885.

It is an arithmetic number, because the mean of its divisors is an integer number (21103353810).

Almost surely, 2^251413114144 is an apocalyptic number.

It is an amenable number.

251413114144 is an abundant number, since it is smaller than the sum of its proper divisors (255067377296).

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

251413114144 is a wasteful number, since it uses less digits than its factorization.

251413114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182713072 (or 182713064 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

Adding to 251413114144 its reverse (441411314152), we get a palindrome (692824428296).

The spelling of 251413114144 in words is "two hundred fifty-one billion, four hundred thirteen million, one hundred fourteen thousand, one hundred forty-four".