1158042106368 has 1440 divisors, whose sum is σ = 4345920843264. Its totient is φ = 301321617408.

The previous prime is 1158042106357. The next prime is 1158042106373. The reversal of 1158042106368 is 8636012408511.

1158042106368 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 0 + 4 + 2 + 1 + 0 + 636 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10822823371 + ... + 10822823477.

Almost surely, 2^{1158042106368} is an apocalyptic number.

1158042106368 is a gapful number since it is divisible by the number (18) 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 1158042106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172960421632).

1158042106368 is an abundant number, since it is smaller than the sum of its proper divisors (3187878736896).

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

1158042106368 is an equidigital number, since it uses as much as digits as its factorization.

1158042106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1158042106368 in words is "one trillion, one hundred fifty-eight billion, forty-two million, one hundred six thousand, three hundred sixty-eight".