114610101256 has 64 divisors (see below), whose sum is σ = 251771921280. Its totient is φ = 47887096320.

The previous prime is 114610101247. The next prime is 114610101289. The reversal of 114610101256 is 652101016411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258740 + ... + 1346716.

It is an arithmetic number, because the mean of its divisors is an integer number (3933936270).

Almost surely, 2^114610101256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114610101256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125885960640).

114610101256 is an abundant number, since it is smaller than the sum of its proper divisors (137161820024).

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

114610101256 is a wasteful number, since it uses less digits than its factorization.

114610101256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88574 (or 88570 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 114610101256 its reverse (652101016411), we get a palindrome (766711117667).

The spelling of 114610101256 in words is "one hundred fourteen billion, six hundred ten million, one hundred one thousand, two hundred fifty-six".