248086008096 has 48 divisors (see below), whose sum is σ = 655538563008. Its totient is φ = 82147680000.

The previous prime is 248086008089. The next prime is 248086008197. The reversal of 248086008096 is 690800680842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 8542555 + ... + 8571546.

It is an arithmetic number, because the mean of its divisors is an integer number (13657053396).

Almost surely, 2^248086008096 is an apocalyptic number.

It is an amenable number.

248086008096 is an abundant number, since it is smaller than the sum of its proper divisors (407452554912).

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

248086008096 is a wasteful number, since it uses less digits than its factorization.

248086008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17114265 (or 17114257 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 248086008096 in words is "two hundred forty-eight billion, eighty-six million, eight thousand, ninety-six".