11229916761 has 64 divisors (see below), whose sum is σ = 19697395200. Its totient is φ = 6186958848.

The previous prime is 11229916757. The next prime is 11229916783. The reversal of 11229916761 is 16761992211.

It is not a de Polignac number, because 11229916761 - 2² = 11229916757 is a prime.

It is a super-2 number, since 2×11229916761² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11229916261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6318705 + ... + 6320481.

It is an arithmetic number, because the mean of its divisors is an integer number (307771800).

Almost surely, 2^11229916761 is an apocalyptic number.

It is an amenable number.

11229916761 is a deficient number, since it is larger than the sum of its proper divisors (8467478439).

11229916761 is a wasteful number, since it uses less digits than its factorization.

11229916761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2969 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The spelling of 11229916761 in words is "eleven billion, two hundred twenty-nine million, nine hundred sixteen thousand, seven hundred sixty-one".