9014382656406 has 96 divisors (see below), whose sum is σ = 20721332320416. Its totient is φ = 2822400000000.

The previous prime is 9014382656401. The next prime is 9014382656413. The reversal of 9014382656406 is 6046562834109.

9014382656406 is a `hidden beast` number, since 90 + 1 + 438 + 2 + 65 + 64 + 0 + 6 = 666.

9014382656406 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 2×9014382656406² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9014382656401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735801781 + ... + 735814031.

It is an arithmetic number, because the mean of its divisors is an integer number (215847211671).

Almost surely, 2^{9014382656406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9014382656406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360666160208).

9014382656406 is an abundant number, since it is smaller than the sum of its proper divisors (11706949664010).

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

9014382656406 is a wasteful number, since it uses less digits than its factorization.

9014382656406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878 (or 16875 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 9014382656406 in words is "nine trillion, fourteen billion, three hundred eighty-two million, six hundred fifty-six thousand, four hundred six".