11146614541151 has 16 divisors (see below), whose sum is σ = 12016023317280. Its totient is φ = 10301358581760.

The previous prime is 11146614541037. The next prime is 11146614541193. The reversal of 11146614541151 is 15114541664111.

It is a cyclic number.

It is not a de Polignac number, because 11146614541151 - 2³⁴ = 11129434671967 is a prime.

It is a super-3 number, since 3×11146614541151³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11146614541099 and 11146614541108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146614549151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5456330 + ... + 7215591.

It is an arithmetic number, because the mean of its divisors is an integer number (751001457330).

Almost surely, 2^{11146614541151} is an apocalyptic number.

11146614541151 is a deficient number, since it is larger than the sum of its proper divisors (869408776129).

11146614541151 is a wasteful number, since it uses less digits than its factorization.

11146614541151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672874.

The product of its digits is 57600, while the sum is 41.

The spelling of 11146614541151 in words is "eleven trillion, one hundred forty-six billion, six hundred fourteen million, five hundred forty-one thousand, one hundred fifty-one".