249648967568 has 240 divisors, whose sum is σ = 658219204608. Its totient is φ = 89253964800.

The previous prime is 249648967553. The next prime is 249648967573. The reversal of 249648967568 is 865769846942.

It is a junction number, because it is equal to n+sod(n) for n = 249648967495 and 249648967504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30474353 + ... + 30482543.

Almost surely, 2^249648967568 is an apocalyptic number.

249648967568 is a gapful number since it is divisible by the number (28) 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 249648967568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329109602304).

249648967568 is an abundant number, since it is smaller than the sum of its proper divisors (408570237040).

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

249648967568 is a wasteful number, since it uses less digits than its factorization.

249648967568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414 (or 8397 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 74.

The spelling of 249648967568 in words is "two hundred forty-nine billion, six hundred forty-eight million, nine hundred sixty-seven thousand, five hundred sixty-eight".