84329766399376 has 45 divisors (see below), whose sum is σ = 164045514702691. Its totient is φ = 41996115746816.

The previous prime is 84329766399349. The next prime is 84329766399401. The reversal of 84329766399376 is 67399366792348.

The square root of 84329766399376 is 9183124.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13094815992976 + 71234950406400 = 3618676^2 + 8440080^2 .

It is a super-2 number, since 2×84329766399376² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (82) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84329766399376.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9440247006 + ... + 9440255938.

Almost surely, 2^{84329766399376} is an apocalyptic number.

84329766399376 is the 9183124-th square number.

It is an amenable number.

84329766399376 is a deficient number, since it is larger than the sum of its proper divisors (79715748303315).

84329766399376 is an frugal number, since it uses more digits than its factorization.

84329766399376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388 (or 9192 counting only the distinct ones).

The product of its digits is 13332791808, while the sum is 82.

The spelling of 84329766399376 in words is "eighty-four trillion, three hundred twenty-nine billion, seven hundred sixty-six million, three hundred ninety-nine thousand, three hundred seventy-six".