114026025429888 has 384 divisors, whose sum is σ = 364406305149600. Its totient is φ = 31372506316800.

The previous prime is 114026025429887. The next prime is 114026025429917. The reversal of 114026025429888 is 888924520620411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×114026025429888³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114026025429887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35298618 + ... + 38393286.

Almost surely, 2^{114026025429888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114026025429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182203152574800).

114026025429888 is an abundant number, since it is smaller than the sum of its proper divisors (250380279719712).

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

114026025429888 is a wasteful number, since it uses less digits than its factorization.

114026025429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094782 (or 3094759 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 114026025429888 in words is "one hundred fourteen trillion, twenty-six billion, twenty-five million, four hundred twenty-nine thousand, eight hundred eighty-eight".