111158666598816 has 384 divisors, whose sum is σ = 344397854626560. Its totient is φ = 34760353775616.

The previous prime is 111158666598781. The next prime is 111158666598823. The reversal of 111158666598816 is 618895666851111.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5802499510 + ... + 5802518666.

It is an arithmetic number, because the mean of its divisors is an integer number (896869413090).

Almost surely, 2^{111158666598816} is an apocalyptic number.

111158666598816 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 111158666598816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172198927313280).

111158666598816 is an abundant number, since it is smaller than the sum of its proper divisors (233239188027744).

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

111158666598816 is a wasteful number, since it uses less digits than its factorization.

111158666598816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453 (or 20439 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 72.

The spelling of 111158666598816 in words is "one hundred eleven trillion, one hundred fifty-eight billion, six hundred sixty-six million, five hundred ninety-eight thousand, eight hundred sixteen".