83412257306427 has 64 divisors (see below), whose sum is σ = 142679644830720. Its totient is φ = 47174272992000.

The previous prime is 83412257306393. The next prime is 83412257306431. The reversal of 83412257306427 is 72460375221438.

83412257306427 is a `hidden beast` number, since 8 + 3 + 4 + 1 + 2 + 2 + 573 + 0 + 64 + 2 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-83412257306427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83412257306527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49431552 + ... + 51091122.

It is an arithmetic number, because the mean of its divisors is an integer number (2229369450480).

Almost surely, 2^{83412257306427} is an apocalyptic number.

83412257306427 is a deficient number, since it is larger than the sum of its proper divisors (59267387524293).

83412257306427 is a wasteful number, since it uses less digits than its factorization.

83412257306427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662321 (or 1662315 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 83412257306427 in words is "eighty-three trillion, four hundred twelve billion, two hundred fifty-seven million, three hundred six thousand, four hundred twenty-seven".