114311533404020 has 96 divisors (see below), whose sum is σ = 251806506174720. Its totient is φ = 43507168911360.

The previous prime is 114311533404001. The next prime is 114311533404077. The reversal of 114311533404020 is 20404335113411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191200916 + ... + 191797844.

It is an arithmetic number, because the mean of its divisors is an integer number (2622984439320).

Almost surely, 2^{114311533404020} is an apocalyptic number.

114311533404020 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 114311533404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125903253087360).

114311533404020 is an abundant number, since it is smaller than the sum of its proper divisors (137494972770700).

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

114311533404020 is a wasteful number, since it uses less digits than its factorization.

114311533404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599145 (or 599143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 114311533404020 its reverse (20404335113411), we get a palindrome (134715868517431).

The spelling of 114311533404020 in words is "one hundred fourteen trillion, three hundred eleven billion, five hundred thirty-three million, four hundred four thousand, twenty".