316544742750100 has 144 divisors (see below), whose sum is σ = 752412315498480. Its totient is φ = 115056716185600.

The previous prime is 316544742750097. The next prime is 316544742750149. The reversal of 316544742750100 is 1057247445613.

It can be written as a sum of positive squares in 24 ways, for example, as 85353873328656 + 231190869421444 = 9238716^2 + 15204962^2 .

It is a super-2 number, since 2×316544742750100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1828795560 + ... + 1828968640.

It is an arithmetic number, because the mean of its divisors is an integer number (5225085524295).

Almost surely, 2^{316544742750100} 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 316544742750100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376206157749240).

316544742750100 is an abundant number, since it is smaller than the sum of its proper divisors (435867572748380).

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

316544742750100 is a wasteful number, since it uses less digits than its factorization.

316544742750100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210238 (or 210231 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 316544742750100 in words is "three hundred sixteen trillion, five hundred forty-four billion, seven hundred forty-two million, seven hundred fifty thousand, one hundred".