81824964309 has 24 divisors (see below), whose sum is σ = 129244096800. Its totient is φ = 49472507040.

The previous prime is 81824964283. The next prime is 81824964313. The reversal of 81824964309 is 90346942818.

It is not a de Polignac number, because 81824964309 - 2⁹ = 81824963797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81824964709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944814 + ... + 1027775.

It is an arithmetic number, because the mean of its divisors is an integer number (5385170700).

Almost surely, 2^81824964309 is an apocalyptic number.

It is an amenable number.

81824964309 is a deficient number, since it is larger than the sum of its proper divisors (47419132491).

81824964309 is a wasteful number, since it uses less digits than its factorization.

81824964309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973025 (or 1973022 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 81824964309 in words is "eighty-one billion, eight hundred twenty-four million, nine hundred sixty-four thousand, three hundred nine".