82879488441 has 40 divisors (see below), whose sum is σ = 130395408000. Its totient is φ = 52316189280.

The previous prime is 82879488427. The next prime is 82879488457. The reversal of 82879488441 is 14488497828.

82879488441 is a `hidden beast` number, since 8 + 28 + 7 + 94 + 88 + 441 = 666.

It is not a de Polignac number, because 82879488441 - 2¹⁴ = 82879472057 is a prime.

It is a super-2 number, since 2×82879488441² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82879418441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2985696 + ... + 3013326.

It is an arithmetic number, because the mean of its divisors is an integer number (3259885200).

Almost surely, 2^82879488441 is an apocalyptic number.

82879488441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82879488441 is a deficient number, since it is larger than the sum of its proper divisors (47515919559).

82879488441 is a wasteful number, since it uses less digits than its factorization.

82879488441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29611 (or 29602 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 82879488441 in words is "eighty-two billion, eight hundred seventy-nine million, four hundred eighty-eight thousand, four hundred forty-one".