9913287384 has 1280 divisors, whose sum is σ = 42152140800. Its totient is φ = 2090188800.

The previous prime is 9913287379. The next prime is 9913287389. The reversal of 9913287384 is 4837823199.

It is an interprime number because it is at equal distance from previous prime (9913287379) and next prime (9913287389).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2612736) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 9913287384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9913287389) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 319783449 + ... + 319783479.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^9913287384 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 9913287384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21076070400).

9913287384 is an abundant number, since it is smaller than the sum of its proper divisors (32238853416).

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

9913287384 is a wasteful number, since it uses less digits than its factorization.

9913287384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9913287384 is about 99565.4929380656. The cubic root of 9913287384 is about 2148.1893812613.

The spelling of 9913287384 in words is "nine billion, nine hundred thirteen million, two hundred eighty-seven thousand, three hundred eighty-four".