8514112114158 has 256 divisors, whose sum is σ = 20895965798400. Its totient is φ = 2261276398080.

The previous prime is 8514112114153. The next prime is 8514112114163.

8514112114158 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8514112114153) and next prime (8514112114163).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8514112114153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2134395628 + ... + 2134399616.

It is an arithmetic number, because the mean of its divisors is an integer number (81624866400).

Almost surely, 2^{8514112114158} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8514112114158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447982899200).

8514112114158 is an abundant number, since it is smaller than the sum of its proper divisors (12381853684242).

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

8514112114158 is a wasteful number, since it uses less digits than its factorization.

8514112114158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647.

The product of its digits is 51200, while the sum is 42.

The spelling of 8514112114158 in words is "eight trillion, five hundred fourteen billion, one hundred twelve million, one hundred fourteen thousand, one hundred fifty-eight".