12834741600 has 720 divisors, whose sum is σ = 50635259136. Its totient is φ = 3151872000.

The previous prime is 12834741599. The next prime is 12834741629. The reversal of 12834741600 is 614743821.

12834741600 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 7 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 67197505 + ... + 67197695.

Almost surely, 2^12834741600 is an apocalyptic number.

12834741600 is a gapful number since it is divisible by the number (10) 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 12834741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25317629568).

12834741600 is an abundant number, since it is smaller than the sum of its proper divisors (37800517536).

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

12834741600 is a wasteful number, since it uses less digits than its factorization.

12834741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12834741600 in words is "twelve billion, eight hundred thirty-four million, seven hundred forty-one thousand, six hundred".