248849949960 has 96 divisors (see below), whose sum is σ = 809040960000. Its totient is φ = 66337125504.

The previous prime is 248849949949. The next prime is 248849949961. The reversal of 248849949960 is 69949948842.

248849949960 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 499 + 49 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (248849949961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940441 + ... + 1175639.

It is an arithmetic number, because the mean of its divisors is an integer number (8427510000).

Almost surely, 2^248849949960 is an apocalyptic number.

248849949960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248849949960 is an abundant number, since it is smaller than the sum of its proper divisors (560191010040).

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

248849949960 is a wasteful number, since it uses less digits than its factorization.

248849949960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238155 (or 238148 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 248849949960 in words is "two hundred forty-eight billion, eight hundred forty-nine million, nine hundred forty-nine thousand, nine hundred sixty".