1166374080144 has 1215 divisors, whose sum is σ = 4400547739497. Its totient is φ = 287397766656.

The previous prime is 1166374080107. The next prime is 1166374080161. The reversal of 1166374080144 is 4410804736611.

The square root of 1166374080144 is 1079988.

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

1166374080144 is a `hidden beast` number, since 1 + 1 + 6 + 637 + 4 + 0 + 8 + 0 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 172540544400 + 993833535744 = 415380^2 + 996912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1166374080144.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 27124978587 + ... + 27124978629.

Almost surely, 2^{1166374080144} is an apocalyptic number.

1166374080144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1166374080144 is the 1079988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166374080144

1166374080144 is an abundant number, since it is smaller than the sum of its proper divisors (3234173659353).

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

1166374080144 is a wasteful number, since it uses less digits than its factorization.

1166374080144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1166374080144 in words is "one trillion, one hundred sixty-six billion, three hundred seventy-four million, eighty thousand, one hundred forty-four".