83114208000 has 1152 divisors, whose sum is σ = 332128742400. Its totient is φ = 20404224000.

The previous prime is 83114207983. The next prime is 83114208011. The reversal of 83114208000 is 80241138.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1001375959 + ... + 1001376041.

It is an arithmetic number, because the mean of its divisors is an integer number (288306200).

Almost surely, 2^83114208000 is an apocalyptic number.

83114208000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83114208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166064371200).

83114208000 is an abundant number, since it is smaller than the sum of its proper divisors (249014534400).

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

83114208000 is a wasteful number, since it uses less digits than its factorization.

83114208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 83114208000 its reverse (80241138), we get a palindrome (83194449138).

The spelling of 83114208000 in words is "eighty-three billion, one hundred fourteen million, two hundred eight thousand".