248406792864 has 48 divisors (see below), whose sum is σ = 665941627008. Its totient is φ = 81040512512.

The previous prime is 248406792827. The next prime is 248406792917. The reversal of 248406792864 is 468297604842.

It is a happy number.

248406792864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 248406792798 and 248406792807.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27522837 + ... + 27531860.

It is an arithmetic number, because the mean of its divisors is an integer number (13873783896).

Almost surely, 2^248406792864 is an apocalyptic number.

248406792864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248406792864 is an abundant number, since it is smaller than the sum of its proper divisors (417534834144).

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

248406792864 is a wasteful number, since it uses less digits than its factorization.

248406792864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55054757 (or 55054749 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 248406792864 in words is "two hundred forty-eight billion, four hundred six million, seven hundred ninety-two thousand, eight hundred sixty-four".