248995442304 has 384 divisors, whose sum is σ = 836582947200. Its totient is φ = 69619212288.

The previous prime is 248995442281. The next prime is 248995442323. The reversal of 248995442304 is 403244599842.

248995442304 is a `hidden beast` number, since 2 + 4 + 8 + 99 + 544 + 2 + 3 + 0 + 4 = 666.

248995442304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72953302 + ... + 72956714.

It is an arithmetic number, because the mean of its divisors is an integer number (2178601425).

Almost surely, 2^248995442304 is an apocalyptic number.

248995442304 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 248995442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418291473600).

248995442304 is an abundant number, since it is smaller than the sum of its proper divisors (587587504896).

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

248995442304 is a wasteful number, since it uses less digits than its factorization.

248995442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 248995442304 in words is "two hundred forty-eight billion, nine hundred ninety-five million, four hundred forty-two thousand, three hundred four".