249814319104 has 160 divisors (see below), whose sum is σ = 584651865600. Its totient is φ = 104507375616.

The previous prime is 249814319101. The next prime is 249814319129. The reversal of 249814319104 is 401913418942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249814319101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157809897 + ... + 157811479.

It is an arithmetic number, because the mean of its divisors is an integer number (3654074160).

Almost surely, 2^249814319104 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 249814319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292325932800).

249814319104 is an abundant number, since it is smaller than the sum of its proper divisors (334837546496).

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

249814319104 is an frugal number, since it uses more digits than its factorization.

249814319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 249814319104 in words is "two hundred forty-nine billion, eight hundred fourteen million, three hundred nineteen thousand, one hundred four".