316151406441 has 48 divisors (see below), whose sum is σ = 496421876496. Its totient is φ = 192724697088.

The previous prime is 316151406407. The next prime is 316151406463. The reversal of 316151406441 is 144604151613.

316151406441 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 5 + 1 + 4 + 0 + 644 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 98081086041 + 218070320400 = 313179^2 + 466980^2 .

It is not a de Polignac number, because 316151406441 - 2⁷ = 316151406313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 316151406396 and 316151406405.

It is not an unprimeable number, because it can be changed into a prime (316151406541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27930315 + ... + 27941631.

It is an arithmetic number, because the mean of its divisors is an integer number (10342122427).

Almost surely, 2^316151406441 is an apocalyptic number.

It is an amenable number.

316151406441 is a deficient number, since it is larger than the sum of its proper divisors (180270470055).

316151406441 is a wasteful number, since it uses less digits than its factorization.

316151406441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 316151406441 in words is "three hundred sixteen billion, one hundred fifty-one million, four hundred six thousand, four hundred forty-one".