248878208331 has 48 divisors (see below), whose sum is σ = 381621876480. Its totient is φ = 156019841280.

The previous prime is 248878208329. The next prime is 248878208339. The reversal of 248878208331 is 133802878842.

248878208331 is a `hidden beast` number, since 2 + 488 + 7 + 82 + 0 + 83 + 3 + 1 = 666.

248878208331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248878208331 - 2¹ = 248878208329 is a prime.

It is a super-3 number, since 3×248878208331³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (248878208339) 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, 7964085 + ... + 7995273.

It is an arithmetic number, because the mean of its divisors is an integer number (7950455760).

Almost surely, 2^248878208331 is an apocalyptic number.

248878208331 is a deficient number, since it is larger than the sum of its proper divisors (132743668149).

248878208331 is a wasteful number, since it uses less digits than its factorization.

248878208331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32036 (or 32033 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 248878208331 in words is "two hundred forty-eight billion, eight hundred seventy-eight million, two hundred eight thousand, three hundred thirty-one".