248038343120 has 40 divisors (see below), whose sum is σ = 576721561416. Its totient is φ = 99209760768.

The previous prime is 248038343093. The next prime is 248038343143. The reversal of 248038343120 is 21343830842.

It can be written as a sum of positive squares in 4 ways, for example, as 3076699024 + 244961644096 = 55468^2 + 494936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 1531964 + ... + 1686116.

Almost surely, 2^248038343120 is an apocalyptic number.

248038343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248038343120 is an abundant number, since it is smaller than the sum of its proper divisors (328683218296).

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

248038343120 is a wasteful number, since it uses less digits than its factorization.

248038343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174279 (or 174273 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 248038343120 in words is "two hundred forty-eight billion, thirty-eight million, three hundred forty-three thousand, one hundred twenty".