114065057070 has 288 divisors, whose sum is σ = 320023851264. Its totient is φ = 28156262400.

The previous prime is 114065057047. The next prime is 114065057077. The reversal of 114065057070 is 70750560411.

114065057070 is a `hidden beast` number, since 1 + 14 + 0 + 6 + 5 + 0 + 570 + 70 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114065057077) 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, 405925330 + ... + 405925610.

It is an arithmetic number, because the mean of its divisors is an integer number (1111193928).

Almost surely, 2^114065057070 is an apocalyptic number.

114065057070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114065057070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160011925632).

114065057070 is an abundant number, since it is smaller than the sum of its proper divisors (205958794194).

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

114065057070 is a wasteful number, since it uses less digits than its factorization.

114065057070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 114065057070 in words is "one hundred fourteen billion, sixty-five million, fifty-seven thousand, seventy".