3164969089296 has 135 divisors (see below), whose sum is σ = 10304129517591. Its totient is φ = 904234185792.

The previous prime is 3164969089273. The next prime is 3164969089301. The reversal of 3164969089296 is 6929809694613.

The square root of 3164969089296 is 1779036.

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

3164969089296 is a `hidden beast` number, since 3 + 164 + 96 + 90 + 8 + 9 + 296 = 666.

3164969089296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149428435 + ... + 149449613.

Almost surely, 2^{3164969089296} is an apocalyptic number.

3164969089296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3164969089296 is the 1779036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164969089296

3164969089296 is an abundant number, since it is smaller than the sum of its proper divisors (7139160428295).

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

3164969089296 is an frugal number, since it uses more digits than its factorization.

3164969089296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42386 (or 21191 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 3164969089296 in words is "three trillion, one hundred sixty-four billion, nine hundred sixty-nine million, eighty-nine thousand, two hundred ninety-six".