1165272661224 has 512 divisors, whose sum is σ = 3818065305600. Its totient is φ = 322463877120.

The previous prime is 1165272661193. The next prime is 1165272661253. The reversal of 1165272661224 is 4221662725611.

1165272661224 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 2 + 7 + 2 + 6 + 612 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1165272661224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1888610164 + ... + 1888610780.

It is an arithmetic number, because the mean of its divisors is an integer number (7457158800).

Almost surely, 2^{1165272661224} is an apocalyptic number.

1165272661224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1165272661224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909032652800).

1165272661224 is an abundant number, since it is smaller than the sum of its proper divisors (2652792644376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1165272661224 is a wasteful number, since it uses less digits than its factorization.

1165272661224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 1165272661224 in words is "one trillion, one hundred sixty-five billion, two hundred seventy-two million, six hundred sixty-one thousand, two hundred twenty-four".