249888532608 has 768 divisors, whose sum is σ = 920254608000. Its totient is φ = 63913328640.

The previous prime is 249888532603. The next prime is 249888532609. The reversal of 249888532608 is 806235888942.

249888532608 is a `hidden beast` number, since 2 + 4 + 98 + 8 + 8 + 532 + 6 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (249888532603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90768160 + ... + 90770912.

Almost surely, 2^249888532608 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 249888532608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460127304000).

249888532608 is an abundant number, since it is smaller than the sum of its proper divisors (670366075392).

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

249888532608 is a wasteful number, since it uses less digits than its factorization.

249888532608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 249888532608 in words is "two hundred forty-nine billion, eight hundred eighty-eight million, five hundred thirty-two thousand, six hundred eight".