251945747549152 has 48 divisors (see below), whose sum is σ = 506528226277920. Its totient is φ = 123314486810112.

The previous prime is 251945747549131. The next prime is 251945747549179.

251945747549152 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168450123 + ... + 169939210.

It is an arithmetic number, because the mean of its divisors is an integer number (10552671380790).

Almost surely, 2^{251945747549152} is an apocalyptic number.

It is an amenable number.

251945747549152 is an abundant number, since it is smaller than the sum of its proper divisors (254582478728768).

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

251945747549152 is a wasteful number, since it uses less digits than its factorization.

251945747549152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338389835 (or 338389827 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 70.

The spelling of 251945747549152 in words is "two hundred fifty-one trillion, nine hundred forty-five billion, seven hundred forty-seven million, five hundred forty-nine thousand, one hundred fifty-two".