882405480546 has 96 divisors (see below), whose sum is σ = 2069327632320. Its totient is φ = 270729879552.

The previous prime is 882405480511. The next prime is 882405480577. The reversal of 882405480546 is 645084504288.

882405480546 is a `hidden beast` number, since 8 + 8 + 2 + 40 + 54 + 8 + 0 + 546 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 882405480492 and 882405480501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3357801 + ... + 3611043.

It is an arithmetic number, because the mean of its divisors is an integer number (21555496170).

Almost surely, 2^882405480546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882405480546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034663816160).

882405480546 is an abundant number, since it is smaller than the sum of its proper divisors (1186922151774).

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

882405480546 is a wasteful number, since it uses less digits than its factorization.

882405480546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253520 (or 253517 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 882405480546 in words is "eight hundred eighty-two billion, four hundred five million, four hundred eighty thousand, five hundred forty-six".