249499968442624 has 81 divisors (see below), whose sum is σ = 500343984807877. Its totient is φ = 124171866432512.

The previous prime is 249499968442601. The next prime is 249499968442663. The reversal of 249499968442624 is 426244869994942.

The square root of 249499968442624 is 15795568.

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

249499968442624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5590538682624 + 243909429760000 = 2364432^2 + 15617600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57369500802 + ... + 57369505150.

Almost surely, 2^{249499968442624} is an apocalyptic number.

249499968442624 is the 15795568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249499968442624

249499968442624 is an abundant number, since it is smaller than the sum of its proper divisors (250844016365253).

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

249499968442624 is an frugal number, since it uses more digits than its factorization.

249499968442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 4578 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 82.

The spelling of 249499968442624 in words is "two hundred forty-nine trillion, four hundred ninety-nine billion, nine hundred sixty-eight million, four hundred forty-two thousand, six hundred twenty-four".