84434992929 has 81 divisors (see below), whose sum is σ = 144345926361. Its totient is φ = 47422166400.

The previous prime is 84434992907. The next prime is 84434992933. The reversal of 84434992929 is 92929943448.

The square root of 84434992929 is 290577.

It is a perfect power (a square), and thus also a powerful number.

84434992929 is a `hidden beast` number, since 84 + 43 + 499 + 2 + 9 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32882382225 + 51552610704 = 181335^2 + 227052^2 .

It is not a de Polignac number, because 84434992929 - 2⁵ = 84434992897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (84434992129) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 616313749 + ... + 616313885.

Almost surely, 2^84434992929 is an apocalyptic number.

84434992929 is the 290577-th square number.

84434992929 is the 145289-th centered octagonal number.

It is an amenable number.

84434992929 is a deficient number, since it is larger than the sum of its proper divisors (59910933432).

84434992929 is a wasteful number, since it uses less digits than its factorization.

84434992929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 84434992929 in words is "eighty-four billion, four hundred thirty-four million, nine hundred ninety-two thousand, nine hundred twenty-nine".