11964608964 has 144 divisors (see below), whose sum is σ = 37794556800. Its totient is φ = 3100446720.

The previous prime is 11964608941. The next prime is 11964608987. The reversal of 11964608964 is 46980646911.

It is a happy number.

11964608964 is a `hidden beast` number, since 1 + 1 + 96 + 460 + 8 + 96 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11964608941) and next prime (11964608987).

It is a super-2 number, since 2×11964608964² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11964608964.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239822 + ... + 1249434.

It is an arithmetic number, because the mean of its divisors is an integer number (262462200).

Almost surely, 2^11964608964 is an apocalyptic number.

11964608964 is a gapful number since it is divisible by the number (14) 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 11964608964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897278400).

11964608964 is an abundant number, since it is smaller than the sum of its proper divisors (25829947836).

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

11964608964 is a wasteful number, since it uses less digits than its factorization.

11964608964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 11964608964 in words is "eleven billion, nine hundred sixty-four million, six hundred eight thousand, nine hundred sixty-four".