114089913645120 has 1344 divisors, whose sum is σ = 469800212544000. Its totient is φ = 24861599465472.

The previous prime is 114089913645107. The next prime is 114089913645121. The reversal of 114089913645120 is 21546319980411.

114089913645120 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 8 + 9 + 91 + 36 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (114089913645121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66758286826 + ... + 66758288534.

Almost surely, 2^{114089913645120} is an apocalyptic number.

114089913645120 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 114089913645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234900106272000).

114089913645120 is an abundant number, since it is smaller than the sum of its proper divisors (355710298898880).

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

114089913645120 is a wasteful number, since it uses less digits than its factorization.

114089913645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 114089913645120 in words is "one hundred fourteen trillion, eighty-nine billion, nine hundred thirteen million, six hundred forty-five thousand, one hundred twenty".