248280743564832 has 48 divisors (see below), whose sum is σ = 710985765665952. Its totient is φ = 75236588958720.

The previous prime is 248280743564653. The next prime is 248280743564879. The reversal of 248280743564832 is 238465347082842.

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

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117557169193 + ... + 117557171304.

It is an arithmetic number, because the mean of its divisors is an integer number (14812203451374).

Almost surely, 2^{248280743564832} is an apocalyptic number.

248280743564832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

248280743564832 is an abundant number, since it is smaller than the sum of its proper divisors (462705022101120).

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

248280743564832 is a wasteful number, since it uses less digits than its factorization.

248280743564832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235114340521 (or 235114340513 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 66.

The spelling of 248280743564832 in words is "two hundred forty-eight trillion, two hundred eighty billion, seven hundred forty-three million, five hundred sixty-four thousand, eight hundred thirty-two".