2834789686848 has 1344 divisors, whose sum is σ = 10460853043200. Its totient is φ = 748879810560.

The previous prime is 2834789686837. The next prime is 2834789686853. The reversal of 2834789686848 is 8486869874382.

2834789686848 is a `hidden beast` number, since 2 + 8 + 3 + 478 + 9 + 68 + 6 + 84 + 8 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12712061265 + ... + 12712061487.

It is an arithmetic number, because the mean of its divisors is an integer number (7783372800).

Almost surely, 2^{2834789686848} is an apocalyptic number.

2834789686848 is a gapful number since it is divisible by the number (28) 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 2834789686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230426521600).

2834789686848 is an abundant number, since it is smaller than the sum of its proper divisors (7626063356352).

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

2834789686848 is a wasteful number, since it uses less digits than its factorization.

2834789686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its digits is 7134511104, while the sum is 81.

The spelling of 2834789686848 in words is "two trillion, eight hundred thirty-four billion, seven hundred eighty-nine million, six hundred eighty-six thousand, eight hundred forty-eight".