882172106816 has 1008 divisors, whose sum is σ = 2608500101760. Its totient is φ = 290381414400.

The previous prime is 882172106797. The next prime is 882172106819. The reversal of 882172106816 is 618601271288.

It is a super-2 number, since 2×882172106816² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (882172106819) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9912046100 + ... + 9912046188.

It is an arithmetic number, because the mean of its divisors is an integer number (2587797720).

Almost surely, 2^882172106816 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 882172106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304250050880).

882172106816 is an abundant number, since it is smaller than the sum of its proper divisors (1726327994944).

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

882172106816 is a wasteful number, since it uses less digits than its factorization.

882172106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 50.

The spelling of 882172106816 in words is "eight hundred eighty-two billion, one hundred seventy-two million, one hundred six thousand, eight hundred sixteen".