851614165116 has 432 divisors, whose sum is σ = 2697747081120. Its totient is φ = 224378035200.

The previous prime is 851614165043. The next prime is 851614165163. The reversal of 851614165116 is 611561416158.

851614165116 is a `hidden beast` number, since 8 + 5 + 1 + 614 + 16 + 5 + 1 + 16 = 666.

It is a super-2 number, since 2×851614165116² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194741506 + ... + 194745878.

It is an arithmetic number, because the mean of its divisors is an integer number (6244784910).

Almost surely, 2^851614165116 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 851614165116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348873540560).

851614165116 is an abundant number, since it is smaller than the sum of its proper divisors (1846132916004).

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

851614165116 is a wasteful number, since it uses less digits than its factorization.

851614165116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4602 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 851614165116 in words is "eight hundred fifty-one billion, six hundred fourteen million, one hundred sixty-five thousand, one hundred sixteen".