11534974801 has 27 divisors (see below), whose sum is σ = 13681239579. Its totient is φ = 9697021488.

The previous prime is 11534974757. The next prime is 11534974819. The reversal of 11534974801 is 10847943511.

It is a happy number.

The square root of 11534974801 is 107401.

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

It can be written as a sum of positive squares in only one way, i.e., 10743115201 + 791859600 = 103649^2 + 28140^2 .

It is not a de Polignac number, because 11534974801 - 2²⁵ = 11501420369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11534974831) 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, 50370955 + ... + 50371183.

It is an arithmetic number, because the mean of its divisors is an integer number (506712577).

Almost surely, 2^11534974801 is an apocalyptic number.

11534974801 is the 107401-st square number.

11534974801 is the 53701-st centered octagonal number.

It is an amenable number.

11534974801 is a deficient number, since it is larger than the sum of its proper divisors (2146264778).

11534974801 is an frugal number, since it uses more digits than its factorization.

11534974801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 11534974801 in words is "eleven billion, five hundred thirty-four million, nine hundred seventy-four thousand, eight hundred one".