83044835493312 has 1344 divisors, whose sum is σ = 301341317064192. Its totient is φ = 19884146688000.

The previous prime is 83044835493307. The next prime is 83044835493317. The reversal of 83044835493312 is 21339453844038.

It is an interprime number because it is at equal distance from previous prime (83044835493307) and next prime (83044835493317).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×83044835493312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83044835493317) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27580481887 + ... + 27580484897.

Almost surely, 2^{83044835493312} 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 83044835493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150670658532096).

83044835493312 is an abundant number, since it is smaller than the sum of its proper divisors (218296481570880).

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

83044835493312 is a wasteful number, since it uses less digits than its factorization.

83044835493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 83044835493312 in words is "eighty-three trillion, forty-four billion, eight hundred thirty-five million, four hundred ninety-three thousand, three hundred twelve".