83146538685627 has 128 divisors (see below), whose sum is σ = 133412451840000. Its totient is φ = 51019661217024.

The previous prime is 83146538685563. The next prime is 83146538685641. The reversal of 83146538685627 is 72658683564138.

83146538685627 is a `hidden beast` number, since 8 + 3 + 1 + 4 + 6 + 53 + 8 + 6 + 8 + 562 + 7 = 666.

It is not a de Polignac number, because 83146538685627 - 2⁶ = 83146538685563 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83146538615627) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 883053183 + ... + 883147335.

It is an arithmetic number, because the mean of its divisors is an integer number (1042284780000).

Almost surely, 2^{83146538685627} is an apocalyptic number.

83146538685627 is a deficient number, since it is larger than the sum of its proper divisors (50265913154373).

83146538685627 is a wasteful number, since it uses less digits than its factorization.

83146538685627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94582 (or 94576 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 83146538685627 in words is "eighty-three trillion, one hundred forty-six billion, five hundred thirty-eight million, six hundred eighty-five thousand, six hundred twenty-seven".