313473160000 has 560 divisors, whose sum is σ = 1043796378240. Its totient is φ = 90178560000.

The previous prime is 313473159991. The next prime is 313473160031. The reversal of 313473160000 is 61374313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40036086 + ... + 40043914.

It is an arithmetic number, because the mean of its divisors is an integer number (1863922104).

Almost surely, 2^313473160000 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 313473160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521898189120).

313473160000 is an abundant number, since it is smaller than the sum of its proper divisors (730323218240).

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

313473160000 is a wasteful number, since it uses less digits than its factorization.

313473160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7892 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 313473160000 in words is "three hundred thirteen billion, four hundred seventy-three million, one hundred sixty thousand".