248940908076 has 144 divisors (see below), whose sum is σ = 727968923136. Its totient is φ = 64633433088.

The previous prime is 248940908057. The next prime is 248940908077. The reversal of 248940908076 is 670809049842.

248940908076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (248940908077) by changing a digit.

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, 1097305 + ... + 1304591.

It is an arithmetic number, because the mean of its divisors is an integer number (5055339744).

Almost surely, 2^248940908076 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 248940908076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363984461568).

248940908076 is an abundant number, since it is smaller than the sum of its proper divisors (479028015060).

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

248940908076 is a wasteful number, since it uses less digits than its factorization.

248940908076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207376 (or 207345 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 248940908076 in words is "two hundred forty-eight billion, nine hundred forty million, nine hundred eight thousand, seventy-six".