1166296322304 has 243 divisors, whose sum is σ = 3408008487429. Its totient is φ = 383598950400.

The previous prime is 1166296322263. The next prime is 1166296322309. The reversal of 1166296322304 is 4032236926611.

The square root of 1166296322304 is 1079952.

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

1166296322304 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 2 + 9 + 632 + 2 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 136639643904 + 1029656678400 = 369648^2 + 1014720^2 .

It is a super-2 number, since 2×1166296322304² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1166296322304.

It is not an unprimeable number, because it can be changed into a prime (1166296322309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7723816629 + ... + 7723816779.

Almost surely, 2^{1166296322304} is an apocalyptic number.

1166296322304 is the 1079952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166296322304

1166296322304 is an abundant number, since it is smaller than the sum of its proper divisors (2241712165125).

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

1166296322304 is an frugal number, since it uses more digits than its factorization.

1166296322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1166296322304 in words is "one trillion, one hundred sixty-six billion, two hundred ninety-six million, three hundred twenty-two thousand, three hundred four".