249725834064 has 120 divisors (see below), whose sum is σ = 798924351680. Its totient is φ = 71332545024.

The previous prime is 249725834047. The next prime is 249725834089. The reversal of 249725834064 is 460438527942.

It is a happy number.

249725834064 is a `hidden beast` number, since 2 + 49 + 7 + 258 + 340 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 249725834064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4345164 + ... + 4402260.

Almost surely, 2^249725834064 is an apocalyptic number.

249725834064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249725834064 is an abundant number, since it is smaller than the sum of its proper divisors (549198517616).

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

249725834064 is a wasteful number, since it uses less digits than its factorization.

249725834064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61457 (or 61448 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 249725834064 in words is "two hundred forty-nine billion, seven hundred twenty-five million, eight hundred thirty-four thousand, sixty-four".