249494760252192 has 768 divisors, whose sum is σ = 898587899596800. Its totient is φ = 58658102968320.

The previous prime is 249494760252191. The next prime is 249494760252259. The reversal of 249494760252192 is 291252067494942.

It is not an unprimeable number, because it can be changed into a prime (249494760252191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23163559767 + ... + 23163570537.

It is an arithmetic number, because the mean of its divisors is an integer number (1170036327600).

Almost surely, 2^{249494760252192} 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 249494760252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449293949798400).

249494760252192 is an abundant number, since it is smaller than the sum of its proper divisors (649093139344608).

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

249494760252192 is a wasteful number, since it uses less digits than its factorization.

249494760252192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19049 (or 19041 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 249494760252192 in words is "two hundred forty-nine trillion, four hundred ninety-four billion, seven hundred sixty million, two hundred fifty-two thousand, one hundred ninety-two".