248849915904 has 336 divisors, whose sum is σ = 763913077200. Its totient is φ = 80900259840.

The previous prime is 248849915893. The next prime is 248849915917. The reversal of 248849915904 is 409519948842.

248849915904 is a `hidden beast` number, since 2 + 48 + 8 + 499 + 15 + 90 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81615372 + ... + 81618420.

It is an arithmetic number, because the mean of its divisors is an integer number (2273550825).

Almost surely, 2^248849915904 is an apocalyptic number.

248849915904 is a gapful number since it is divisible by the number (24) 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 248849915904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381956538600).

248849915904 is an abundant number, since it is smaller than the sum of its proper divisors (515063161296).

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

248849915904 is an frugal number, since it uses more digits than its factorization.

248849915904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 248849915904 in words is "two hundred forty-eight billion, eight hundred forty-nine million, nine hundred fifteen thousand, nine hundred four".