82946385441 has 24 divisors (see below), whose sum is σ = 121110050880. Its totient is φ = 54699252000.

The previous prime is 82946385419. The next prime is 82946385449. The reversal of 82946385441 is 14458364928.

82946385441 is a `hidden beast` number, since 8 + 2 + 94 + 6 + 3 + 8 + 544 + 1 = 666.

It is not a de Polignac number, because 82946385441 - 2²¹ = 82944288289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82946385449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949900 + ... + 1033538.

It is an arithmetic number, because the mean of its divisors is an integer number (5046252120).

Almost surely, 2^82946385441 is an apocalyptic number.

It is an amenable number.

82946385441 is a deficient number, since it is larger than the sum of its proper divisors (38163665439).

82946385441 is a wasteful number, since it uses less digits than its factorization.

82946385441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84837 (or 84834 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 82946385441 in words is "eighty-two billion, nine hundred forty-six million, three hundred eighty-five thousand, four hundred forty-one".