9917014464 has 448 divisors, whose sum is σ = 36517478400. Its totient is φ = 2573254656.

The previous prime is 9917014463. The next prime is 9917014487. The reversal of 9917014464 is 4644107199.

9917014464 is a `hidden beast` number, since 9 + 9 + 170 + 14 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9917014463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5962497 + ... + 5964159.

Almost surely, 2^9917014464 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 9917014464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258739200).

9917014464 is an abundant number, since it is smaller than the sum of its proper divisors (26600463936).

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

9917014464 is a wasteful number, since it uses less digits than its factorization.

9917014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9917014464 is about 99584.2079046673. The cubic root of 9917014464 is about 2148.4585644356.

The spelling of 9917014464 in words is "nine billion, nine hundred seventeen million, fourteen thousand, four hundred sixty-four".