14187400158096 has 540 divisors, whose sum is σ = 45547869554460. Its totient is φ = 4118843520000.

The previous prime is 14187400158031. The next prime is 14187400158097. The reversal of 14187400158096 is 69085100478141.

14187400158096 is a `hidden beast` number, since 1 + 4 + 1 + 87 + 400 + 158 + 0 + 9 + 6 = 666.

14187400158096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13055474391696 + 1131925766400 = 3613236^2 + 1063920^2 .

It is not an unprimeable number, because it can be changed into a prime (14187400158097) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1691186670 + ... + 1691195058.

Almost surely, 2^{14187400158096} is an apocalyptic number.

14187400158096 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 14187400158096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22773934777230).

14187400158096 is an abundant number, since it is smaller than the sum of its proper divisors (31360469396364).

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

14187400158096 is a wasteful number, since it uses less digits than its factorization.

14187400158096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 14187400158096 in words is "fourteen trillion, one hundred eighty-seven billion, four hundred million, one hundred fifty-eight thousand, ninety-six".