8156999449872 has 800 divisors, whose sum is σ = 30607007692800. Its totient is φ = 2081854172160.

The previous prime is 8156999449811. The next prime is 8156999449873. The reversal of 8156999449872 is 2789449996518.

8156999449872 is a `hidden beast` number, since 8 + 1 + 5 + 6 + 9 + 99 + 449 + 87 + 2 = 666.

It is a super-2 number, since 2×8156999449872² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 8156999449791 and 8156999449800.

It is not an unprimeable number, because it can be changed into a prime (8156999449873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179122018 + ... + 179167550.

It is an arithmetic number, because the mean of its divisors is an integer number (38258759616).

Almost surely, 2^{8156999449872} 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 8156999449872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15303503846400).

8156999449872 is an abundant number, since it is smaller than the sum of its proper divisors (22450008242928).

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

8156999449872 is a wasteful number, since it uses less digits than its factorization.

8156999449872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45618 (or 45589 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 81.

The spelling of 8156999449872 in words is "eight trillion, one hundred fifty-six billion, nine hundred ninety-nine million, four hundred forty-nine thousand, eight hundred seventy-two".