316221696000 has 864 divisors, whose sum is σ = 1326370467240. Its totient is φ = 72253440000.

The previous prime is 316221695941. The next prime is 316221696019. The reversal of 316221696000 is 696122613.

It is a happy number.

316221696000 is a `hidden beast` number, since 3 + 16 + 22 + 16 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94312866816 + 221908829184 = 307104^2 + 471072^2 .

It is a super-2 number, since 2×316221696000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112894600 + ... + 112897400.

Almost surely, 2^316221696000 is an apocalyptic number.

316221696000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316221696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663185233620).

316221696000 is an abundant number, since it is smaller than the sum of its proper divisors (1010148771240).

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

316221696000 is a wasteful number, since it uses less digits than its factorization.

316221696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 316221696000 in words is "three hundred sixteen billion, two hundred twenty-one million, six hundred ninety-six thousand".