248588315904 has 144 divisors (see below), whose sum is σ = 730984044672. Its totient is φ = 74597597184.

The previous prime is 248588315867. The next prime is 248588315909. The reversal of 248588315904 is 409513885842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248588315909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113629 + ... + 714204.

It is an arithmetic number, because the mean of its divisors is an integer number (5076278088).

Almost surely, 2^248588315904 is an apocalyptic number.

248588315904 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 248588315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365492022336).

248588315904 is an abundant number, since it is smaller than the sum of its proper divisors (482395728768).

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

248588315904 is a wasteful number, since it uses less digits than its factorization.

248588315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827892 (or 827878 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 57.

The spelling of 248588315904 in words is "two hundred forty-eight billion, five hundred eighty-eight million, three hundred fifteen thousand, nine hundred four".