856006116143904 has 768 divisors, whose sum is σ = 2899310812876800. Its totient is φ = 243132676300800.

The previous prime is 856006116143891. The next prime is 856006116143909. The reversal of 856006116143904 is 409341611600658.

856006116143904 is a `hidden beast` number, since 8 + 5 + 6 + 0 + 0 + 6 + 11 + 614 + 3 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×856006116143904² (a number of 31 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (856006116143909) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9372523519 + ... + 9372614849.

It is an arithmetic number, because the mean of its divisors is an integer number (3775144287600).

Almost surely, 2^{856006116143904} 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 856006116143904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449655406438400).

856006116143904 is an abundant number, since it is smaller than the sum of its proper divisors (2043304696732896).

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

856006116143904 is a wasteful number, since it uses less digits than its factorization.

856006116143904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92246 (or 92232 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 856006116143904 in words is "eight hundred fifty-six trillion, six billion, one hundred sixteen million, one hundred forty-three thousand, nine hundred four".