1191415889664 has 2592 divisors, whose sum is σ = 5143281421824. Its totient is φ = 265513697280.

The previous prime is 1191415889597. The next prime is 1191415889669. The reversal of 1191415889664 is 4669885141911.

1191415889664 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 41 + 588 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (14929920) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1191415889669) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22479545062 + ... + 22479545114.

It is an arithmetic number, because the mean of its divisors is an integer number (1984290672).

Almost surely, 2^{1191415889664} is an apocalyptic number.

1191415889664 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 1191415889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571640710912).

1191415889664 is an abundant number, since it is smaller than the sum of its proper divisors (3951865532160).

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

1191415889664 is a wasteful number, since it uses less digits than its factorization.

1191415889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 108 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 1191415889664 in words is "one trillion, one hundred ninety-one billion, four hundred fifteen million, eight hundred eighty-nine thousand, six hundred sixty-four".