316016640000 has 900 divisors, whose sum is σ = 1192337129984. Its totient is φ = 83607552000.

The previous prime is 316016639971. The next prime is 316016640013. The reversal of 316016640000 is 46610613.

316016640000 is a `hidden beast` number, since 3 + 1 + 6 + 0 + 16 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2488319937 + ... + 2488320063.

Almost surely, 2^316016640000 is an apocalyptic number.

316016640000 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 316016640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596168564992).

316016640000 is an abundant number, since it is smaller than the sum of its proper divisors (876320489984).

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

316016640000 is an frugal number, since it uses more digits than its factorization.

316016640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 316016640000 in words is "three hundred sixteen billion, sixteen million, six hundred forty thousand".