882442146960 has 320 divisors, whose sum is σ = 3348682456320. Its totient is φ = 211806720000.

The previous prime is 882442146881. The next prime is 882442146973. The reversal of 882442146960 is 69641244288.

It is a happy number.

882442146960 is a `hidden beast` number, since 8 + 82 + 4 + 42 + 1 + 469 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 882442146897 and 882442146906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2215900 + ... + 2583620.

It is an arithmetic number, because the mean of its divisors is an integer number (10464632676).

Almost surely, 2^882442146960 is an apocalyptic number.

882442146960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882442146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674341228160).

882442146960 is an abundant number, since it is smaller than the sum of its proper divisors (2466240309360).

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

882442146960 is a wasteful number, since it uses less digits than its factorization.

882442146960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367855 (or 367843 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 882442146960 in words is "eight hundred eighty-two billion, four hundred forty-two million, one hundred forty-six thousand, nine hundred sixty".