967984435044 has 135 divisors (see below), whose sum is σ = 2782021323081. Its totient is φ = 293269584960.

The previous prime is 967984435039. The next prime is 967984435063. The reversal of 967984435044 is 440534489769.

It is a happy number.

The square root of 967984435044 is 983862.

It is a perfect power (a square), and thus also a powerful number.

967984435044 is a `hidden beast` number, since 9 + 6 + 7 + 9 + 84 + 43 + 504 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195132460644 + 772851974400 = 441738^2 + 879120^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 194802192 + ... + 194807160.

Almost surely, 2^967984435044 is an apocalyptic number.

967984435044 is the 983862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967984435044

967984435044 is an abundant number, since it is smaller than the sum of its proper divisors (1814036888037).

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

967984435044 is an equidigital number, since it uses as much as digits as its factorization.

967984435044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 967984435044 in words is "nine hundred sixty-seven billion, nine hundred eighty-four million, four hundred thirty-five thousand, forty-four".