248664380880 has 80 divisors (see below), whose sum is σ = 770941638720. Its totient is φ = 66303442944.

The previous prime is 248664380843. The next prime is 248664380917. The reversal of 248664380880 is 88083466842.

It is an interprime number because it is at equal distance from previous prime (248664380843) and next prime (248664380917).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 248664380880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2438599 + ... + 2538521.

It is an arithmetic number, because the mean of its divisors is an integer number (9636770484).

Almost surely, 2^248664380880 is an apocalyptic number.

248664380880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248664380880 is an abundant number, since it is smaller than the sum of its proper divisors (522277257840).

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

248664380880 is a wasteful number, since it uses less digits than its factorization.

248664380880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110308 (or 110302 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 248664380880 in words is "two hundred forty-eight billion, six hundred sixty-four million, three hundred eighty thousand, eight hundred eighty".