111146115364461 has 48 divisors (see below), whose sum is σ = 161005417372800. Its totient is φ = 73885043064960.

The previous prime is 111146115364423. The next prime is 111146115364523. The reversal of 111146115364461 is 164463511641111.

111146115364461 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 4 + 6 + 11 + 536 + 44 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-111146115364461 is a prime.

It is a super-2 number, since 2×111146115364461² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111146115363461) 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, 12116654671 + ... + 12116663843.

It is an arithmetic number, because the mean of its divisors is an integer number (3354279528600).

Almost surely, 2^{111146115364461} is an apocalyptic number.

It is an amenable number.

111146115364461 is a deficient number, since it is larger than the sum of its proper divisors (49859302008339).

111146115364461 is a wasteful number, since it uses less digits than its factorization.

111146115364461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 12543 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 111146115364461 in words is "one hundred eleven trillion, one hundred forty-six billion, one hundred fifteen million, three hundred sixty-four thousand, four hundred sixty-one".