313472928271104 has 1728 divisors, whose sum is σ = 1097665351630848. Its totient is φ = 84181037875200.

The previous prime is 313472928271081. The next prime is 313472928271127. The reversal of 313472928271104 is 401172829274313.

313472928271104 is a `hidden beast` number, since 3 + 1 + 3 + 472 + 92 + 8 + 2 + 71 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (313472928271081) and next prime (313472928271127).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069873475182 + ... + 1069873475474.

It is an arithmetic number, because the mean of its divisors is an integer number (635223004416).

Almost surely, 2^{313472928271104} 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 313472928271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548832675815424).

313472928271104 is an abundant number, since it is smaller than the sum of its proper divisors (784192423359744).

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

313472928271104 is a wasteful number, since it uses less digits than its factorization.

313472928271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 313472928271104 in words is "three hundred thirteen trillion, four hundred seventy-two billion, nine hundred twenty-eight million, two hundred seventy-one thousand, one hundred four".