1191506733864 has 128 divisors (see below), whose sum is σ = 3387729484800. Its totient is φ = 387914869440.

The previous prime is 1191506733839. The next prime is 1191506733877. The reversal of 1191506733864 is 4683376051911.

1191506733864 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 506 + 73 + 3 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1191506733864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277899 + ... + 2004005.

It is an arithmetic number, because the mean of its divisors is an integer number (26466636600).

Almost surely, 2^{1191506733864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1191506733864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693864742400).

1191506733864 is an abundant number, since it is smaller than the sum of its proper divisors (2196222750936).

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

1191506733864 is a wasteful number, since it uses less digits than its factorization.

1191506733864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726300 (or 726290 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1191506733864 in words is "one trillion, one hundred ninety-one billion, five hundred six million, seven hundred thirty-three thousand, eight hundred sixty-four".