82833447312000 has 4096 divisors, whose sum is σ = 391410148147200. Its totient is φ = 16930529280000.

The previous prime is 82833447311983. The next prime is 82833447312037. The reversal of 82833447312000 is 21374433828.

82833447312000 is a `hidden beast` number, since 8 + 2 + 83 + 3 + 447 + 3 + 120 + 0 + 0 = 666.

It is a super-2 number, since 2×82833447312000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 191301263784 + ... + 191301264216.

It is an arithmetic number, because the mean of its divisors is an integer number (95559118200).

Almost surely, 2^{82833447312000} is an apocalyptic number.

82833447312000 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 82833447312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195705074073600).

82833447312000 is an abundant number, since it is smaller than the sum of its proper divisors (308576700835200).

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

82833447312000 is an equidigital number, since it uses as much as digits as its factorization.

82833447312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 82833447312000 in words is "eighty-two trillion, eight hundred thirty-three billion, four hundred forty-seven million, three hundred twelve thousand".