114525140110020 has 144 divisors (see below), whose sum is σ = 348294122624448. Its totient is φ = 30460870344960.

The previous prime is 114525140109971. The next prime is 114525140110057. The reversal of 114525140110020 is 20011041525411.

114525140110020 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 251 + 401 + 1 + 0 + 0 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186390547 + ... + 187003973.

It is an arithmetic number, because the mean of its divisors is an integer number (2418709184892).

Almost surely, 2^{114525140110020} is an apocalyptic number.

114525140110020 is a gapful number since it is divisible by the number (10) 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 114525140110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174147061312224).

114525140110020 is an abundant number, since it is smaller than the sum of its proper divisors (233768982514428).

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

114525140110020 is a wasteful number, since it uses less digits than its factorization.

114525140110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616130 (or 616125 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 114525140110020 its reverse (20011041525411), we get a palindrome (134536181635431).

The spelling of 114525140110020 in words is "one hundred fourteen trillion, five hundred twenty-five billion, one hundred forty million, one hundred ten thousand, twenty".