386434689132912 has 320 divisors, whose sum is σ = 1250134160292864. Its totient is φ = 100334877327360.

The previous prime is 386434689132911. The next prime is 386434689132931. The reversal of 386434689132912 is 219231986434683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386434689132911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20707198 + ... + 34664930.

Almost surely, 2^{386434689132912} 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 386434689132912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625067080146432).

386434689132912 is an abundant number, since it is smaller than the sum of its proper divisors (863699471159952).

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

386434689132912 is a wasteful number, since it uses less digits than its factorization.

386434689132912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13957936 (or 13957930 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 69.

The spelling of 386434689132912 in words is "three hundred eighty-six trillion, four hundred thirty-four billion, six hundred eighty-nine million, one hundred thirty-two thousand, nine hundred twelve".