11151148801 has 9 divisors (see below), whose sum is σ = 12076399299. Its totient is φ = 10292100936.

The previous prime is 11151148783. The next prime is 11151148847. The reversal of 11151148801 is 10884115111.

The square root of 11151148801 is 105599.

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., 1649578225 + 9501570576 = 40615^2 + 97476^2 .

It is not a de Polignac number, because 11151148801 - 2²³ = 11142760193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11151148871) 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, 1368726 + ... + 1376848.

Almost surely, 2^11151148801 is an apocalyptic number.

11151148801 is the 105599-th square number.

11151148801 is the 52800-th centered octagonal number.

It is an amenable number.

11151148801 is a deficient number, since it is larger than the sum of its proper divisors (925250498).

11151148801 is an frugal number, since it uses more digits than its factorization.

11151148801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 31.

The spelling of 11151148801 in words is "eleven billion, one hundred fifty-one million, one hundred forty-eight thousand, eight hundred one".