1145718131085 has 120 divisors (see below), whose sum is σ = 2260318111128. Its totient is φ = 554803603200.

The previous prime is 1145718131053. The next prime is 1145718131093. The reversal of 1145718131085 is 5801318175411.

1145718131085 is a `hidden beast` number, since 1 + 1 + 457 + 181 + 3 + 10 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34899096969 + 1110819034116 = 186813^2 + 1053954^2 .

It is not a de Polignac number, because 1145718131085 - 2⁵ = 1145718131053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1145718131085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 40218867 + ... + 40247343.

Almost surely, 2^{1145718131085} is an apocalyptic number.

1145718131085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1145718131085 is a deficient number, since it is larger than the sum of its proper divisors (1114599980043).

1145718131085 is a wasteful number, since it uses less digits than its factorization.

1145718131085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29337 (or 29317 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 45.

The spelling of 1145718131085 in words is "one trillion, one hundred forty-five billion, seven hundred eighteen million, one hundred thirty-one thousand, eighty-five".