12045936235824 has 160 divisors (see below), whose sum is σ = 35586627310080. Its totient is φ = 3899671776000.

The previous prime is 12045936235777. The next prime is 12045936235847. The reversal of 12045936235824 is 42853263954021.

12045936235824 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 5 + 9 + 3 + 623 + 5 + 8 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875827 + ... + 4985874.

It is an arithmetic number, because the mean of its divisors is an integer number (222416420688).

Almost surely, 2^{12045936235824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045936235824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17793313655040).

12045936235824 is an abundant number, since it is smaller than the sum of its proper divisors (23540691074256).

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

12045936235824 is a wasteful number, since it uses less digits than its factorization.

12045936235824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861856 (or 5861844 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 12045936235824 in words is "twelve trillion, forty-five billion, nine hundred thirty-six million, two hundred thirty-five thousand, eight hundred twenty-four".