249664578048 has 320 divisors, whose sum is σ = 756187850880. Its totient is φ = 81302667264.

The previous prime is 249664578001. The next prime is 249664578113. The reversal of 249664578048 is 840875466942.

249664578048 is a `hidden beast` number, since 2 + 4 + 9 + 66 + 457 + 80 + 48 = 666.

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, 214672315 + ... + 214673477.

It is an arithmetic number, because the mean of its divisors is an integer number (2363087034).

Almost surely, 2^249664578048 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 249664578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378093925440).

249664578048 is an abundant number, since it is smaller than the sum of its proper divisors (506523272832).

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

249664578048 is a wasteful number, since it uses less digits than its factorization.

249664578048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 249664578048 in words is "two hundred forty-nine billion, six hundred sixty-four million, five hundred seventy-eight thousand, forty-eight".