83683688638638 has 64 divisors (see below), whose sum is σ = 184024527740928. Its totient is φ = 25158434152320.

The previous prime is 83683688638597. The next prime is 83683688638681.

83683688638638 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×83683688638638³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478331956 + ... + 478506872.

It is an arithmetic number, because the mean of its divisors is an integer number (2875383245952).

Almost surely, 2^{83683688638638} is an apocalyptic number.

83683688638638 is an abundant number, since it is smaller than the sum of its proper divisors (100340839102290).

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

83683688638638 is a wasteful number, since it uses less digits than its factorization.

83683688638638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232137.

The product of its digits is 27518828544, while the sum is 84.

The spelling of 83683688638638 in words is "eighty-three trillion, six hundred eighty-three billion, six hundred eighty-eight million, six hundred thirty-eight thousand, six hundred thirty-eight".