248871714480 has 120 divisors (see below), whose sum is σ = 842174601840. Its totient is φ = 65859156480.

The previous prime is 248871714463. The next prime is 248871714503. The reversal of 248871714480 is 84417178842.

248871714480 is a `hidden beast` number, since 2 + 4 + 88 + 71 + 7 + 14 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1224975 + ... + 1413614.

It is an arithmetic number, because the mean of its divisors is an integer number (7018121682).

Almost surely, 2^248871714480 is an apocalyptic number.

248871714480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248871714480 is an abundant number, since it is smaller than the sum of its proper divisors (593302887360).

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

248871714480 is a wasteful number, since it uses less digits than its factorization.

248871714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638739 (or 2638730 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 248871714480 in words is "two hundred forty-eight billion, eight hundred seventy-one million, seven hundred fourteen thousand, four hundred eighty".