249734130048 has 320 divisors, whose sum is σ = 847462936320. Its totient is φ = 72320532480.

The previous prime is 249734130043. The next prime is 249734130053. The reversal of 249734130048 is 840031437942.

It is an interprime number because it is at equal distance from previous prime (249734130043) and next prime (249734130053).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 249734129985 and 249734130012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249734130043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2236833 + ... + 2345823.

It is an arithmetic number, because the mean of its divisors is an integer number (2648321676).

Almost surely, 2^249734130048 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 249734130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423731468160).

249734130048 is an abundant number, since it is smaller than the sum of its proper divisors (597728806272).

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

249734130048 is a wasteful number, since it uses less digits than its factorization.

249734130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109047 (or 109026 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 249734130048 in words is "two hundred forty-nine billion, seven hundred thirty-four million, one hundred thirty thousand, forty-eight".