249313469796144 has 320 divisors, whose sum is σ = 798341378437120. Its totient is φ = 73974924380160.

The previous prime is 249313469796121. The next prime is 249313469796163. The reversal of 249313469796144 is 441697964313942.

249313469796144 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 13 + 469 + 7 + 9 + 6 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46739052 + ... + 51799284.

It is an arithmetic number, because the mean of its divisors is an integer number (2494816807616).

Almost surely, 2^{249313469796144} is an apocalyptic number.

249313469796144 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 249313469796144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399170689218560).

249313469796144 is an abundant number, since it is smaller than the sum of its proper divisors (549027908640976).

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

249313469796144 is a wasteful number, since it uses less digits than its factorization.

249313469796144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060577 (or 5060565 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 249313469796144 in words is "two hundred forty-nine trillion, three hundred thirteen billion, four hundred sixty-nine million, seven hundred ninety-six thousand, one hundred forty-four".