12434384337156 has 96 divisors (see below), whose sum is σ = 32505326474880. Its totient is φ = 4110454035072.

The previous prime is 12434384337131. The next prime is 12434384337161. The reversal of 12434384337156 is 65173348343421.

12434384337156 is a `hidden beast` number, since 1 + 2 + 43 + 43 + 84 + 337 + 156 = 666.

12434384337156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12434384337156² (a number of 27 digits) contains 22 as substring.

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, 6579375 + ... + 8255721.

It is an arithmetic number, because the mean of its divisors is an integer number (338597150780).

Almost surely, 2^{12434384337156} 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 12434384337156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252663237440).

12434384337156 is an abundant number, since it is smaller than the sum of its proper divisors (20070942137724).

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

12434384337156 is a wasteful number, since it uses less digits than its factorization.

12434384337156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676930 (or 1676922 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 12434384337156 in words is "twelve trillion, four hundred thirty-four billion, three hundred eighty-four million, three hundred thirty-seven thousand, one hundred fifty-six".