316151621001216 has 4032 divisors, whose sum is σ = 1357482483302400. Its totient is φ = 69427711180800.

The previous prime is 316151621001199. The next prime is 316151621001241. The reversal of 316151621001216 is 612100126151613.

316151621001216 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 5 + 1 + 621 + 0 + 0 + 1 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 304284524025 + ... + 304284525063.

It is an arithmetic number, because the mean of its divisors is an integer number (336677203200).

Almost surely, 2^{316151621001216} is an apocalyptic number.

316151621001216 is a gapful number since it is divisible by the number (36) 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 316151621001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678741241651200).

316151621001216 is an abundant number, since it is smaller than the sum of its proper divisors (1041330862301184).

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

316151621001216 is a wasteful number, since it uses less digits than its factorization.

316151621001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 316151621001216 its reverse (612100126151613), we get a palindrome (928251747152829).

The spelling of 316151621001216 in words is "three hundred sixteen trillion, one hundred fifty-one billion, six hundred twenty-one million, one thousand, two hundred sixteen".