114810696 has 384 divisors, whose sum is σ = 440294400. Its totient is φ = 27060480.

The previous prime is 114810691. The next prime is 114810727. The reversal of 114810696 is 696018411.

114810696 = 115³ + 116³ + ... + 158³.

It is a happy number.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 114810696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114810691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1945915 + ... + 1945973.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^114810696 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 114810696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

114810696 is an abundant number, since it is smaller than the sum of its proper divisors (325483704).

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

114810696 is a wasteful number, since it uses less digits than its factorization.

114810696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114810696 is about 10714.9753149506. The cubic root of 114810696 is about 486.0274332937.

The spelling of 114810696 in words is "one hundred fourteen million, eight hundred ten thousand, six hundred ninety-six".