1165115463345 has 96 divisors (see below), whose sum is σ = 2075417690112. Its totient is φ = 604466603136.

The previous prime is 1165115463341. The next prime is 1165115463353. The reversal of 1165115463345 is 5433645115611.

1165115463345 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 1 + 5 + 4 + 633 + 4 + 5 = 666.

It is not a de Polignac number, because 1165115463345 - 2² = 1165115463341 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 1165115463345.

It is not an unprimeable number, because it can be changed into a prime (1165115463341) 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, 113964904 + ... + 113975126.

It is an arithmetic number, because the mean of its divisors is an integer number (21618934272).

Almost surely, 2^{1165115463345} is an apocalyptic number.

1165115463345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1165115463345 is a deficient number, since it is larger than the sum of its proper divisors (910302226767).

1165115463345 is a wasteful number, since it uses less digits than its factorization.

1165115463345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10771 (or 10768 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 1165115463345 in words is "one trillion, one hundred sixty-five billion, one hundred fifteen million, four hundred sixty-three thousand, three hundred forty-five".