9917435446416 has 45 divisors (see below), whose sum is σ = 27755150794969. Its totient is φ = 3305799218688.

The previous prime is 9917435446403. The next prime is 9917435446417. The reversal of 9917435446416 is 6146445347199.

It is a happy number.

The square root of 9917435446416 is 3149196.

It is a perfect power (a square), and thus also a powerful number.

9917435446416 is a `hidden beast` number, since 9 + 9 + 1 + 7 + 43 + 544 + 6 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9873797907600 + 43637538816 = 3142260^2 + 208896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9917435446417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37659136 + ... + 37921568.

Almost surely, 2^{9917435446416} is an apocalyptic number.

9917435446416 is the 3149196-th square number.

It is an amenable number.

9917435446416 is an abundant number, since it is smaller than the sum of its proper divisors (17837715348553).

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

9917435446416 is an frugal number, since it uses more digits than its factorization.

9917435446416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524880 (or 262438 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 9917435446416 in words is "nine trillion, nine hundred seventeen billion, four hundred thirty-five million, four hundred forty-six thousand, four hundred sixteen".