313174848 has 112 divisors (see below), whose sum is σ = 969182720. Its totient is φ = 87381504.

The previous prime is 313174843. The next prime is 313174859. The reversal of 313174848 is 848471313.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313174843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55083 + ... + 60501.

Almost surely, 2^313174848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313174848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484591360).

313174848 is an abundant number, since it is smaller than the sum of its proper divisors (656007872).

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

313174848 is a wasteful number, since it uses less digits than its factorization.

313174848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5474 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 313174848 is about 17696.7468196841. The cubic root of 313174848 is about 679.0925380865.

The spelling of 313174848 in words is "three hundred thirteen million, one hundred seventy-four thousand, eight hundred forty-eight".