248013660160 has 112 divisors (see below), whose sum is σ = 680225305536. Its totient is φ = 85033156608.

The previous prime is 248013660151. The next prime is 248013660173. The reversal of 248013660160 is 61066310842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145782 + ... + 719221.

It is an arithmetic number, because the mean of its divisors is an integer number (6073440228).

Almost surely, 2^248013660160 is an apocalyptic number.

248013660160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248013660160 is an abundant number, since it is smaller than the sum of its proper divisors (432211645376).

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

248013660160 is an frugal number, since it uses more digits than its factorization.

248013660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865041 (or 865017 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 248013660160 in words is "two hundred forty-eight billion, thirteen million, six hundred sixty thousand, one hundred sixty".