1164436146612 has 144 divisors (see below), whose sum is σ = 3006858516480. Its totient is φ = 379879041024.

The previous prime is 1164436146607. The next prime is 1164436146647. The reversal of 1164436146612 is 2166416344611.

1164436146612 is a `hidden beast` number, since 1 + 1 + 6 + 443 + 6 + 146 + 61 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306994188 + ... + 306997980.

It is an arithmetic number, because the mean of its divisors is an integer number (20880961920).

Almost surely, 2^{1164436146612} is an apocalyptic number.

1164436146612 is a gapful number since it is divisible by the number (12) 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 1164436146612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503429258240).

1164436146612 is an abundant number, since it is smaller than the sum of its proper divisors (1842422369868).

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

1164436146612 is a wasteful number, since it uses less digits than its factorization.

1164436146612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4817 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 1164436146612 in words is "one trillion, one hundred sixty-four billion, four hundred thirty-six million, one hundred forty-six thousand, six hundred twelve".