82443481006761 has 96 divisors (see below), whose sum is σ = 145943029919232. Its totient is φ = 43822728069120.

The previous prime is 82443481006759. The next prime is 82443481006771. The reversal of 82443481006761 is 16760018434428.

82443481006761 is a `hidden beast` number, since 8 + 2 + 4 + 43 + 481 + 0 + 0 + 67 + 61 = 666.

It is not a de Polignac number, because 82443481006761 - 2¹ = 82443481006759 is a prime.

It is a super-2 number, since 2×82443481006761² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82443481006698 and 82443481006707.

It is not an unprimeable number, because it can be changed into a prime (82443481006771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16378201 + ... + 20811833.

It is an arithmetic number, because the mean of its divisors is an integer number (1520239894992).

Almost surely, 2^{82443481006761} is an apocalyptic number.

It is an amenable number.

82443481006761 is a deficient number, since it is larger than the sum of its proper divisors (63499548912471).

82443481006761 is a wasteful number, since it uses less digits than its factorization.

82443481006761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434023 (or 4434020 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 82443481006761 in words is "eighty-two trillion, four hundred forty-three billion, four hundred eighty-one million, six thousand, seven hundred sixty-one".