11464149168 has 120 divisors (see below), whose sum is σ = 34276923200. Its totient is φ = 3566166912.

The previous prime is 11464149161. The next prime is 11464149199. The reversal of 11464149168 is 86194146411.

11464149168 is a `hidden beast` number, since 1 + 146 + 414 + 91 + 6 + 8 = 666.

It is a super-2 number, since 2×11464149168² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11464149161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152043 + ... + 214581.

Almost surely, 2^11464149168 is an apocalyptic number.

11464149168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11464149168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17138461600).

11464149168 is an abundant number, since it is smaller than the sum of its proper divisors (22812774032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11464149168 is a wasteful number, since it uses less digits than its factorization.

11464149168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62639 (or 62630 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11464149168 in words is "eleven billion, four hundred sixty-four million, one hundred forty-nine thousand, one hundred sixty-eight".