14106033335772 has 144 divisors (see below), whose sum is σ = 42079225423872. Its totient is φ = 3898994901120.

The previous prime is 14106033335729. The next prime is 14106033335789. The reversal of 14106033335772 is 27753333060141.

14106033335772 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 603 + 3 + 3 + 35 + 7 + 7 + 2 = 666.

14106033335772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23427763 + ... + 24022325.

Almost surely, 2^{14106033335772} is an apocalyptic number.

14106033335772 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 14106033335772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039612711936).

14106033335772 is an abundant number, since it is smaller than the sum of its proper divisors (27973192088100).

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

14106033335772 is a wasteful number, since it uses less digits than its factorization.

14106033335772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597648 (or 597643 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 14106033335772 in words is "fourteen trillion, one hundred six billion, thirty-three million, three hundred thirty-five thousand, seven hundred seventy-two".