9914436864 has 216 divisors, whose sum is σ = 29767442432. Its totient is φ = 3170119680.

The previous prime is 9914436859. The next prime is 9914436887. The reversal of 9914436864 is 4686344199.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9914436864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9070302 + ... + 9071394.

Almost surely, 2^9914436864 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 9914436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14883721216).

9914436864 is an abundant number, since it is smaller than the sum of its proper divisors (19853005568).

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

9914436864 is a wasteful number, since it uses less digits than its factorization.

9914436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1256 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 9914436864 is about 99571.2652525818. The cubic root of 9914436864 is about 2148.2724080515.

The spelling of 9914436864 in words is "nine billion, nine hundred fourteen million, four hundred thirty-six thousand, eight hundred sixty-four".