316249629120 has 672 divisors, whose sum is σ = 1171389413376. Its totient is φ = 78033715200.

The previous prime is 316249629107. The next prime is 316249629139. The reversal of 316249629120 is 21926942613.

316249629120 is a `hidden beast` number, since 3 + 1 + 6 + 2 + 4 + 9 + 629 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125443380 + ... + 1125443660.

It is an arithmetic number, because the mean of its divisors is an integer number (1743139008).

Almost surely, 2^316249629120 is an apocalyptic number.

316249629120 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 316249629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585694706688).

316249629120 is an abundant number, since it is smaller than the sum of its proper divisors (855139784256).

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

316249629120 is a wasteful number, since it uses less digits than its factorization.

316249629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 316249629120 in words is "three hundred sixteen billion, two hundred forty-nine million, six hundred twenty-nine thousand, one hundred twenty".