11564453376 has 320 divisors, whose sum is σ = 39471759360. Its totient is φ = 3274629120.

The previous prime is 11564453363. The next prime is 11564453389. The reversal of 11564453376 is 67335446511.

11564453376 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 44 + 533 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (11564453363) and next prime (11564453389).

Its product of digits (907200) is a multiple of the sum of its prime divisors (1080).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12289066 + ... + 12290006.

It is an arithmetic number, because the mean of its divisors is an integer number (123349248).

Almost surely, 2^11564453376 is an apocalyptic number.

11564453376 is a gapful number since it is divisible by the number (16) 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 11564453376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735879680).

11564453376 is an abundant number, since it is smaller than the sum of its proper divisors (27907305984).

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

11564453376 is an equidigital number, since it uses as much as digits as its factorization.

11564453376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1080 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

Adding to 11564453376 its reverse (67335446511), we get a palindrome (78899899887).

The spelling of 11564453376 in words is "eleven billion, five hundred sixty-four million, four hundred fifty-three thousand, three hundred seventy-six".