114065987760 has 360 divisors, whose sum is σ = 407456309520. Its totient is φ = 28517916672.

The previous prime is 114065987753. The next prime is 114065987803. The reversal of 114065987760 is 67789560411.

114065987760 is a `hidden beast` number, since 1 + 1 + 40 + 6 + 598 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×114065987760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114065987697 and 114065987706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174679594 + ... + 174680246.

It is an arithmetic number, because the mean of its divisors is an integer number (1131823082).

Almost surely, 2^114065987760 is an apocalyptic number.

114065987760 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 114065987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203728154760).

114065987760 is an abundant number, since it is smaller than the sum of its proper divisors (293390321760).

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

114065987760 is a wasteful number, since it uses less digits than its factorization.

114065987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 114065987760 in words is "one hundred fourteen billion, sixty-five million, nine hundred eighty-seven thousand, seven hundred sixty".