12933735705 has 96 divisors (see below), whose sum is σ = 25592516352. Its totient is φ = 5981184000.

The previous prime is 12933735701. The next prime is 12933735719. The reversal of 12933735705 is 50753733921.

12933735705 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 3 + 73 + 570 + 5 = 666.

It is not a de Polignac number, because 12933735705 - 2² = 12933735701 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (12933735701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4563969 + ... + 4566801.

It is an arithmetic number, because the mean of its divisors is an integer number (266588712).

Almost surely, 2^12933735705 is an apocalyptic number.

12933735705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12933735705 is a deficient number, since it is larger than the sum of its proper divisors (12658780647).

12933735705 is a wasteful number, since it uses less digits than its factorization.

12933735705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The spelling of 12933735705 in words is "twelve billion, nine hundred thirty-three million, seven hundred thirty-five thousand, seven hundred five".