83412531027168 has 768 divisors, whose sum is σ = 267181188857856. Its totient is φ = 22280855224320.

The previous prime is 83412531027113. The next prime is 83412531027223. The reversal of 83412531027168 is 86172013521438.

It is an interprime number because it is at equal distance from previous prime (83412531027113) and next prime (83412531027223).

It is a self number, because there is not a number n which added to its sum of digits gives 83412531027168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82342083430 + ... + 82342084442.

It is an arithmetic number, because the mean of its divisors is an integer number (347892172992).

Almost surely, 2^{83412531027168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83412531027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133590594428928).

83412531027168 is an abundant number, since it is smaller than the sum of its proper divisors (183768657830688).

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

83412531027168 is a wasteful number, since it uses less digits than its factorization.

83412531027168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 83412531027168 in words is "eighty-three trillion, four hundred twelve billion, five hundred thirty-one million, twenty-seven thousand, one hundred sixty-eight".