11146256304331 has 16 divisors (see below), whose sum is σ = 11931693984000. Its totient is φ = 10381324570848.

The previous prime is 11146256304317. The next prime is 11146256304353. The reversal of 11146256304331 is 13340365264111.

It is a cyclic number.

It is not a de Polignac number, because 11146256304331 - 2²³ = 11146247915723 is a prime.

It is a super-2 number, since 2×11146256304331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11146256301331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8063356 + ... + 9343993.

It is an arithmetic number, because the mean of its divisors is an integer number (745730874000).

Almost surely, 2^{11146256304331} is an apocalyptic number.

11146256304331 is a deficient number, since it is larger than the sum of its proper divisors (785437679669).

11146256304331 is a wasteful number, since it uses less digits than its factorization.

11146256304331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17407938.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 11146256304331 in words is "eleven trillion, one hundred forty-six billion, two hundred fifty-six million, three hundred four thousand, three hundred thirty-one".