114096533230080 has 1440 divisors, whose sum is σ = 457350533228160. Its totient is φ = 27127545200640.

The previous prime is 114096533230051. The next prime is 114096533230087. The reversal of 114096533230080 is 80032335690411.

114096533230080 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 9 + 6 + 5 + 332 + 300 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114096533230087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5425149165 + ... + 5425170195.

It is an arithmetic number, because the mean of its divisors is an integer number (317604536964).

Almost surely, 2^{114096533230080} is an apocalyptic number.

114096533230080 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 114096533230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228675266614080).

114096533230080 is an abundant number, since it is smaller than the sum of its proper divisors (343253999998080).

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

114096533230080 is an frugal number, since it uses more digits than its factorization.

114096533230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21114 (or 21077 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 114096533230080 in words is "one hundred fourteen trillion, ninety-six billion, five hundred thirty-three million, two hundred thirty thousand, eighty".