9985913145 has 64 divisors (see below), whose sum is σ = 19135146240. Its totient is φ = 4911819264.

The previous prime is 9985913143. The next prime is 9985913153. The reversal of 9985913145 is 5413195899.

9985913145 is a `hidden beast` number, since 9 + 9 + 8 + 591 + 3 + 1 + 45 = 666.

9985913145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9985913145 - 2¹ = 9985913143 is a prime.

It is a super-2 number, since 2×9985913145² (a number of 21 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 9985913091 and 9985913100.

It is not an unprimeable number, because it can be changed into a prime (9985913141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3064357 + ... + 3067613.

It is an arithmetic number, because the mean of its divisors is an integer number (298986660).

Almost surely, 2^9985913145 is an apocalyptic number.

It is an amenable number.

9985913145 is a deficient number, since it is larger than the sum of its proper divisors (9149233095).

9985913145 is a wasteful number, since it uses less digits than its factorization.

9985913145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5025 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The square root of 9985913145 is about 99929.5409025780. The cubic root of 9985913145 is about 2153.4225743293.

The spelling of 9985913145 in words is "nine billion, nine hundred eighty-five million, nine hundred thirteen thousand, one hundred forty-five".