248052798084 has 288 divisors, whose sum is σ = 741397708800. Its totient is φ = 63137318400.

The previous prime is 248052798073. The next prime is 248052798143. The reversal of 248052798084 is 480897250842.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263605054 + ... + 263605994.

It is an arithmetic number, because the mean of its divisors is an integer number (2574297600).

Almost surely, 2^248052798084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248052798084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370698854400).

248052798084 is an abundant number, since it is smaller than the sum of its proper divisors (493344910716).

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

248052798084 is a wasteful number, since it uses less digits than its factorization.

248052798084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 248052798084 in words is "two hundred forty-eight billion, fifty-two million, seven hundred ninety-eight thousand, eighty-four".