1186146796896 has 240 divisors, whose sum is σ = 3674066457600. Its totient is φ = 374364571392.

The previous prime is 1186146796889. The next prime is 1186146796897. The reversal of 1186146796896 is 6986976416811.

1186146796896 is a `hidden beast` number, since 1 + 1 + 86 + 1 + 467 + 9 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186146796897) 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 39 ways as a sum of consecutive naturals, for example, 105532845 + ... + 105544083.

It is an arithmetic number, because the mean of its divisors is an integer number (15308610240).

Almost surely, 2^{1186146796896} is an apocalyptic number.

1186146796896 is a gapful number since it is divisible by the number (16) 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 1186146796896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837033228800).

1186146796896 is an abundant number, since it is smaller than the sum of its proper divisors (2487919660704).

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

1186146796896 is a wasteful number, since it uses less digits than its factorization.

1186146796896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13423 (or 13406 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 1186146796896 in words is "one trillion, one hundred eighty-six billion, one hundred forty-six million, seven hundred ninety-six thousand, eight hundred ninety-six".