11462057721 has 27 divisors (see below), whose sum is σ = 16747294863. Its totient is φ = 7554224160.

The previous prime is 11462057699. The next prime is 11462057729. The reversal of 11462057721 is 12775026411.

The square root of 11462057721 is 107061.

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

11462057721 is a `hidden beast` number, since 1 + 1 + 4 + 62 + 0 + 577 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7745936121 + 3716121600 = 88011^2 + 60960^2 .

It is not a de Polignac number, because 11462057721 - 2⁵ = 11462057689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11462057729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40790101 + ... + 40790381.

Almost surely, 2^11462057721 is an apocalyptic number.

11462057721 is the 107061-st square number.

11462057721 is the 53531-st centered octagonal number.

It is an amenable number.

11462057721 is a deficient number, since it is larger than the sum of its proper divisors (5285237142).

11462057721 is an frugal number, since it uses more digits than its factorization.

11462057721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Multiplying 11462057721 by its sum of digits (36), we get a square (412634077956 = 642366²).

The spelling of 11462057721 in words is "eleven billion, four hundred sixty-two million, fifty-seven thousand, seven hundred twenty-one".