983325918105 has 48 divisors (see below), whose sum is σ = 1853467793424. Its totient is φ = 480250736640.

The previous prime is 983325918073. The next prime is 983325918119. The reversal of 983325918105 is 501819523389.

983325918105 is a `hidden beast` number, since 9 + 8 + 3 + 32 + 591 + 8 + 10 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 170780521536 + 812545396569 = 413256^2 + 901413^2 .

It is not a de Polignac number, because 983325918105 - 2⁵ = 983325918073 is a prime.

It is a super-2 number, since 2×983325918105² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17341876 + ... + 17398485.

It is an arithmetic number, because the mean of its divisors is an integer number (38613912363).

Almost surely, 2^983325918105 is an apocalyptic number.

It is an amenable number.

983325918105 is a deficient number, since it is larger than the sum of its proper divisors (870141875319).

983325918105 is a wasteful number, since it uses less digits than its factorization.

983325918105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34740426 (or 34740423 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 983325918105 in words is "nine hundred eighty-three billion, three hundred twenty-five million, nine hundred eighteen thousand, one hundred five".