114402011020 has 96 divisors (see below), whose sum is σ = 279053268480. Its totient is φ = 38934666240.

The previous prime is 114402010997. The next prime is 114402011023. The reversal of 114402011020 is 20110204411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114402010985 and 114402011003.

It is not an unprimeable number, because it can be changed into a prime (114402011023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584017 + ... + 754903.

It is an arithmetic number, because the mean of its divisors is an integer number (2906804880).

Almost surely, 2^114402011020 is an apocalyptic number.

114402011020 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 114402011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139526634240).

114402011020 is an abundant number, since it is smaller than the sum of its proper divisors (164651257460).

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

114402011020 is a wasteful number, since it uses less digits than its factorization.

114402011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171103 (or 171101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114402011020 its reverse (20110204411), we get a palindrome (134512215431).

The spelling of 114402011020 in words is "one hundred fourteen billion, four hundred two million, eleven thousand, twenty".