114608701440 has 720 divisors, whose sum is σ = 438487644672. Its totient is φ = 28538044416.

The previous prime is 114608701409. The next prime is 114608701447. The reversal of 114608701440 is 44107806411.

114608701440 is a `hidden beast` number, since 1 + 1 + 4 + 608 + 7 + 0 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114608701395 and 114608701404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114608701447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 902430657 + ... + 902430783.

Almost surely, 2^114608701440 is an apocalyptic number.

114608701440 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 114608701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219243822336).

114608701440 is an abundant number, since it is smaller than the sum of its proper divisors (323878943232).

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

114608701440 is an frugal number, since it uses more digits than its factorization.

114608701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 114608701440 in words is "one hundred fourteen billion, six hundred eight million, seven hundred one thousand, four hundred forty".