11336555664 has 480 divisors, whose sum is σ = 39717457920. Its totient is φ = 3030877440.

The previous prime is 11336555663. The next prime is 11336555669. The reversal of 11336555664 is 46655563311.

It is a happy number.

11336555664 is a `hidden beast` number, since 1 + 1 + 3 + 36 + 5 + 556 + 64 = 666.

Its product of digits (972000) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (11336555663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136584967 + ... + 136585049.

It is an arithmetic number, because the mean of its divisors is an integer number (82744704).

Almost surely, 2^11336555664 is an apocalyptic number.

11336555664 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 11336555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858728960).

11336555664 is an abundant number, since it is smaller than the sum of its proper divisors (28380902256).

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

11336555664 is a wasteful number, since it uses less digits than its factorization.

11336555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 173 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 11336555664 in words is "eleven billion, three hundred thirty-six million, five hundred fifty-five thousand, six hundred sixty-four".