9913983552 has 448 divisors, whose sum is σ = 33932774400. Its totient is φ = 2806824960.

The previous prime is 9913983481. The next prime is 9913983559. The reversal of 9913983552 is 2553893199.

9913983552 is a `hidden beast` number, since 9 + 9 + 1 + 3 + 9 + 83 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9913983559) 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, 35031603 + ... + 35031885.

It is an arithmetic number, because the mean of its divisors is an integer number (75742800).

Almost surely, 2^9913983552 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 9913983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966387200).

9913983552 is an abundant number, since it is smaller than the sum of its proper divisors (24018790848).

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

9913983552 is a wasteful number, since it uses less digits than its factorization.

9913983552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 9913983552 is about 99568.9889071894. The cubic root of 9913983552 is about 2148.2396661514.

The spelling of 9913983552 in words is "nine billion, nine hundred thirteen million, nine hundred eighty-three thousand, five hundred fifty-two".