83141333114112 has 2304 divisors, whose sum is σ = 321217118208000. Its totient is φ = 21055447203840.

The previous prime is 83141333114053. The next prime is 83141333114149. The reversal of 83141333114112 is 21141133314138.

83141333114112 is a `hidden beast` number, since 8 + 314 + 1 + 3 + 331 + 1 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×83141333114112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 165290920453 + ... + 165290920955.

It is an arithmetic number, because the mean of its divisors is an integer number (139417152000).

Almost surely, 2^{83141333114112} 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 83141333114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160608559104000).

83141333114112 is an abundant number, since it is smaller than the sum of its proper divisors (238075785093888).

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

83141333114112 is a wasteful number, since it uses less digits than its factorization.

83141333114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 732 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 83141333114112 in words is "eighty-three trillion, one hundred forty-one billion, three hundred thirty-three million, one hundred fourteen thousand, one hundred twelve".