249332004744 has 128 divisors (see below), whose sum is σ = 659459232000. Its totient is φ = 78434929664.

The previous prime is 249332004709. The next prime is 249332004809. The reversal of 249332004744 is 447400233942.

It is a junction number, because it is equal to n+sod(n) for n = 249332004696 and 249332004705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9910309 + ... + 9935435.

It is an arithmetic number, because the mean of its divisors is an integer number (5152025250).

Almost surely, 2^249332004744 is an apocalyptic number.

249332004744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249332004744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329729616000).

249332004744 is an abundant number, since it is smaller than the sum of its proper divisors (410127227256).

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

249332004744 is a wasteful number, since it uses less digits than its factorization.

249332004744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25487 (or 25483 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 249332004744 in words is "two hundred forty-nine billion, three hundred thirty-two million, four thousand, seven hundred forty-four".