114134442311120 has 480 divisors, whose sum is σ = 338085228589056. Its totient is φ = 35433448780800.

The previous prime is 114134442311107. The next prime is 114134442311251. The reversal of 114134442311120 is 21113244431411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25573478009 + ... + 25573482471.

Almost surely, 2^{114134442311120} is an apocalyptic number.

114134442311120 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 114134442311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169042614294528).

114134442311120 is an abundant number, since it is smaller than the sum of its proper divisors (223950786277936).

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

114134442311120 is a wasteful number, since it uses less digits than its factorization.

114134442311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 114134442311120 its reverse (21113244431411), we get a palindrome (135247686742531).

The spelling of 114134442311120 in words is "one hundred fourteen trillion, one hundred thirty-four billion, four hundred forty-two million, three hundred eleven thousand, one hundred twenty".