12006361075464 has 320 divisors, whose sum is σ = 38593512988800. Its totient is φ = 3416097079296.

The previous prime is 12006361075351. The next prime is 12006361075483. The reversal of 12006361075464 is 46457016360021.

12006361075464 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 63 + 61 + 0 + 75 + 464 = 666.

12006361075464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1157904072 + ... + 1157914440.

It is an arithmetic number, because the mean of its divisors is an integer number (120604728090).

Almost surely, 2^{12006361075464} is an apocalyptic number.

12006361075464 is a gapful number since it is divisible by the number (14) 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 12006361075464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19296756494400).

12006361075464 is an abundant number, since it is smaller than the sum of its proper divisors (26587151913336).

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

12006361075464 is a wasteful number, since it uses less digits than its factorization.

12006361075464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12006361075464 in words is "twelve trillion, six billion, three hundred sixty-one million, seventy-five thousand, four hundred sixty-four".