73846432009 has 9 divisors (see below), whose sum is σ = 85905205191. Its totient is φ = 63295311240.

The previous prime is 73846431991. The next prime is 73846432013. The reversal of 73846432009 is 90023464837.

The square root of 73846432009 is 271747.

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

It can be written as a sum of positive squares in only one way, i.e., 45197484409 + 28648947600 = 212597^2 + 169260^2 .

It is not a de Polignac number, because 73846432009 - 2⁹ = 73846431497 is a prime.

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 73846432009.

It is not an unprimeable number, because it can be changed into a prime (73846432409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1882819 + ... + 1921639.

It is an arithmetic number, because the mean of its divisors is an integer number (9545022799).

Almost surely, 2^73846432009 is an apocalyptic number.

73846432009 is the 271747-th square number.

73846432009 is the 135874-th centered octagonal number.

It is an amenable number.

73846432009 is a deficient number, since it is larger than the sum of its proper divisors (12058773182).

73846432009 is an frugal number, since it uses more digits than its factorization.

73846432009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77656 (or 38828 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 73846432009 in words is "seventy-three billion, eight hundred forty-six million, four hundred thirty-two thousand, nine".