882094106916 has 384 divisors, whose sum is σ = 2680593592320. Its totient is φ = 248122828800.

The previous prime is 882094106909. The next prime is 882094106917. The reversal of 882094106916 is 619601490288.

882094106916 is a `hidden beast` number, since 8 + 8 + 209 + 410 + 6 + 9 + 16 = 666.

882094106916 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (882094106917) 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, 496394220 + ... + 496395996.

It is an arithmetic number, because the mean of its divisors is an integer number (6980712480).

Almost surely, 2^882094106916 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 882094106916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340296796160).

882094106916 is an abundant number, since it is smaller than the sum of its proper divisors (1798499485404).

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

882094106916 is a wasteful number, since it uses less digits than its factorization.

882094106916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 882094106916 in words is "eight hundred eighty-two billion, ninety-four million, one hundred six thousand, nine hundred sixteen".