11554227520801 has 9 divisors (see below), whose sum is σ = 13440659692851. Its totient is φ = 9903603194352.

The previous prime is 11554227520733. The next prime is 11554227520813. The reversal of 11554227520801 is 10802572245511.

It is a happy number.

The square root of 11554227520801 is 3399151.

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., 45686925025 + 11508540595776 = 213745^2 + 3392424^2 .

It is not a de Polignac number, because 11554227520801 - 2²³ = 11554219132193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11554227520201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23551261 + ... + 24036853.

It is an arithmetic number, because the mean of its divisors is an integer number (1493406632539).

Almost surely, 2^{11554227520801} is an apocalyptic number.

11554227520801 is the 3399151-st square number.

11554227520801 is the 1699576-th centered octagonal number.

It is an amenable number.

11554227520801 is a deficient number, since it is larger than the sum of its proper divisors (1886432172050).

11554227520801 is an frugal number, since it uses more digits than its factorization.

11554227520801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971200 (or 485600 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 43.

The spelling of 11554227520801 in words is "eleven trillion, five hundred fifty-four billion, two hundred twenty-seven million, five hundred twenty thousand, eight hundred one".