1164419682192 has 960 divisors, whose sum is σ = 3979478630400. Its totient is φ = 326651719680.

The previous prime is 1164419682121. The next prime is 1164419682193. The reversal of 1164419682192 is 2912869144611.

1164419682192 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 419 + 6 + 8 + 219 + 2 = 666.

It is a super-2 number, since 2×1164419682192² (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1164419682193) 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 191 ways as a sum of consecutive naturals, for example, 2846991684 + ... + 2846992092.

It is an arithmetic number, because the mean of its divisors is an integer number (4145290240).

Almost surely, 2^{1164419682192} is an apocalyptic number.

1164419682192 is a gapful number since it is divisible by the number (12) 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 1164419682192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989739315200).

1164419682192 is an abundant number, since it is smaller than the sum of its proper divisors (2815058948208).

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

1164419682192 is a wasteful number, since it uses less digits than its factorization.

1164419682192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 560 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 1164419682192 in words is "one trillion, one hundred sixty-four billion, four hundred nineteen million, six hundred eighty-two thousand, one hundred ninety-two".