961583732949 has 32 divisors (see below), whose sum is σ = 1558297598976. Its totient is φ = 514876020480.

The previous prime is 961583732897. The next prime is 961583732957. The reversal of 961583732949 is 949237385169.

It is not a de Polignac number, because 961583732949 - 2¹¹ = 961583730901 is a prime.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 961583732949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961583732959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5851807 + ... + 6013884.

It is an arithmetic number, because the mean of its divisors is an integer number (48696799968).

Almost surely, 2^961583732949 is an apocalyptic number.

It is an amenable number.

961583732949 is a deficient number, since it is larger than the sum of its proper divisors (596713866027).

961583732949 is a wasteful number, since it uses less digits than its factorization.

961583732949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11865945.

The product of its digits is 88179840, while the sum is 66.

The spelling of 961583732949 in words is "nine hundred sixty-one billion, five hundred eighty-three million, seven hundred thirty-two thousand, nine hundred forty-nine".