248389079040 has 728 divisors, whose sum is σ = 907595301888. Its totient is φ = 65213890560.

The previous prime is 248389079011. The next prime is 248389079077. The reversal of 248389079040 is 40970983842.

248389079040 is a `hidden beast` number, since 2 + 483 + 8 + 90 + 79 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1896099775 + ... + 1896099905.

Almost surely, 2^248389079040 is an apocalyptic number.

248389079040 is a gapful number since it is divisible by the number (20) 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 248389079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453797650944).

248389079040 is an abundant number, since it is smaller than the sum of its proper divisors (659206222848).

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

248389079040 is an equidigital number, since it uses as much as digits as its factorization.

248389079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 248389079040 in words is "two hundred forty-eight billion, three hundred eighty-nine million, seventy-nine thousand, forty".