249545288467392 has 112 divisors (see below), whose sum is σ = 665003035630080. Its totient is φ = 82584686757888.

The previous prime is 249545288467369. The next prime is 249545288467399. The reversal of 249545288467392 is 293764882545942.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249545288467399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25641609 + ... + 34008567.

It is an arithmetic number, because the mean of its divisors is an integer number (5937527103840).

Almost surely, 2^{249545288467392} 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 249545288467392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332501517815040).

249545288467392 is an abundant number, since it is smaller than the sum of its proper divisors (415457747162688).

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

249545288467392 is a wasteful number, since it uses less digits than its factorization.

249545288467392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368090 (or 8368080 counting only the distinct ones).

The product of its digits is 8360755200, while the sum is 78.

The spelling of 249545288467392 in words is "two hundred forty-nine trillion, five hundred forty-five billion, two hundred eighty-eight million, four hundred sixty-seven thousand, three hundred ninety-two".