83966511566938 has 64 divisors (see below), whose sum is σ = 171489174312960. Its totient is φ = 29772425995200.

The previous prime is 83966511566921. The next prime is 83966511566939.

83966511566938 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (83966511566939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295219228 + ... + 295503511.

It is an arithmetic number, because the mean of its divisors is an integer number (2679518348640).

Almost surely, 2^{83966511566938} is an apocalyptic number.

83966511566938 is an abundant number, since it is smaller than the sum of its proper divisors (87522662746022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83966511566938 is a wasteful number, since it uses less digits than its factorization.

83966511566938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590722843.

The product of its digits is 1511654400, while the sum is 76.

The spelling of 83966511566938 in words is "eighty-three trillion, nine hundred sixty-six billion, five hundred eleven million, five hundred sixty-six thousand, nine hundred thirty-eight".