82416905629 has 16 divisors (see below), whose sum is σ = 88851677184. Its totient is φ = 76224178800.

The previous prime is 82416905609. The next prime is 82416905647. The reversal of 82416905629 is 92650961428.

It is a cyclic number.

It is not a de Polignac number, because 82416905629 - 2²¹ = 82414808477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82416905609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 779524 + ... + 878914.

It is an arithmetic number, because the mean of its divisors is an integer number (5553229824).

Almost surely, 2^82416905629 is an apocalyptic number.

It is an amenable number.

82416905629 is a deficient number, since it is larger than the sum of its proper divisors (6434771555).

82416905629 is a wasteful number, since it uses less digits than its factorization.

82416905629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100608.

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 82416905629 in words is "eighty-two billion, four hundred sixteen million, nine hundred five thousand, six hundred twenty-nine".