12785786145 has 64 divisors (see below), whose sum is σ = 25146132480. Its totient is φ = 6111806400.

The previous prime is 12785786113. The next prime is 12785786149. The reversal of 12785786145 is 54168758721.

12785786145 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 578 + 61 + 4 + 5 = 666.

It is not a de Polignac number, because 12785786145 - 2⁵ = 12785786113 is a prime.

It is a super-2 number, since 2×12785786145² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12785786091 and 12785786100.

It is not an unprimeable number, because it can be changed into a prime (12785786149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44802 + ... + 166068.

It is an arithmetic number, because the mean of its divisors is an integer number (392908320).

Almost surely, 2^12785786145 is an apocalyptic number.

12785786145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12785786145 is a deficient number, since it is larger than the sum of its proper divisors (12360346335).

12785786145 is a wasteful number, since it uses less digits than its factorization.

12785786145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121363 (or 121357 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 12785786145 in words is "twelve billion, seven hundred eighty-five million, seven hundred eighty-six thousand, one hundred forty-five".