16545175114131 has 96 divisors (see below), whose sum is σ = 24648160680000. Its totient is φ = 10691944648704.

The previous prime is 16545175114109. The next prime is 16545175114159. The reversal of 16545175114131 is 13141157154561.

16545175114131 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 517 + 5 + 114 + 13 + 1 = 666.

It is not a de Polignac number, because 16545175114131 - 2⁶ = 16545175114067 is a prime.

It is a super-2 number, since 2×16545175114131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16545175104131) 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 95 ways as a sum of consecutive naturals, for example, 2926792701 + ... + 2926798353.

It is an arithmetic number, because the mean of its divisors is an integer number (256751673750).

Almost surely, 2^{16545175114131} is an apocalyptic number.

16545175114131 is a deficient number, since it is larger than the sum of its proper divisors (8102985565869).

16545175114131 is a wasteful number, since it uses less digits than its factorization.

16545175114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6213 (or 6210 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The spelling of 16545175114131 in words is "sixteen trillion, five hundred forty-five billion, one hundred seventy-five million, one hundred fourteen thousand, one hundred thirty-one".