11974375080801 has 243 divisors, whose sum is σ = 22256290056819. Its totient is φ = 6422061324672.

The previous prime is 11974375080791. The next prime is 11974375080803. The reversal of 11974375080801 is 10808057347911.

The square root of 11974375080801 is 3460401.

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

11974375080801 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 437 + 50 + 80 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9322610357025 + 2651764723776 = 3053295^2 + 1628424^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 11974375080801 - 2²¹ = 11974372983649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11974375080803) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 33354805060 + ... + 33354805418.

Almost surely, 2^{11974375080801} is an apocalyptic number.

11974375080801 is the 3460401-st square number.

11974375080801 is the 1730201-st centered octagonal number.

It is an amenable number.

11974375080801 is a deficient number, since it is larger than the sum of its proper divisors (10281914976018).

11974375080801 is an frugal number, since it uses more digits than its factorization.

11974375080801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11974375080801 in words is "eleven trillion, nine hundred seventy-four billion, three hundred seventy-five million, eighty thousand, eight hundred one".