249968085696 has 672 divisors, whose sum is σ = 890781535680. Its totient is φ = 68474585088.

The previous prime is 249968085683. The next prime is 249968085701. The reversal of 249968085696 is 696580869942.

249968085696 is a `hidden beast` number, since 2 + 499 + 6 + 80 + 8 + 56 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 228698526 + ... + 228699618.

Almost surely, 2^249968085696 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 249968085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445390767840).

249968085696 is an abundant number, since it is smaller than the sum of its proper divisors (640813449984).

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

249968085696 is a wasteful number, since it uses less digits than its factorization.

249968085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 249968085696 in words is "two hundred forty-nine billion, nine hundred sixty-eight million, eighty-five thousand, six hundred ninety-six".