9901842064 has 15 divisors (see below), whose sum is σ = 19185590217. Its totient is φ = 4950722016.

The previous prime is 9901842043. The next prime is 9901842113. The reversal of 9901842064 is 4602481099.

The square root of 9901842064 is 99508.

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

It can be written as a sum of positive squares in only one way, i.e., 19891600 + 9881950464 = 4460^2 + 99408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9901842064.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 385594 + ... + 410470.

Almost surely, 2^9901842064 is an apocalyptic number.

9901842064 is the 99508-th square number.

It is an amenable number.

9901842064 is a deficient number, since it is larger than the sum of its proper divisors (9283748153).

9901842064 is an frugal number, since it uses more digits than its factorization.

9901842064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49762 (or 24879 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The cubic root of 9901842064 is about 2147.3623369738.

The spelling of 9901842064 in words is "nine billion, nine hundred one million, eight hundred forty-two thousand, sixty-four".