11644528896 has 1296 divisors, whose sum is σ = 49872880512. Its totient is φ = 2627665920.

The previous prime is 11644528873. The next prime is 11644528901. The reversal of 11644528896 is 69882544611.

11644528896 is a `hidden beast` number, since 116 + 445 + 2 + 8 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3317760) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 684972280 + ... + 684972296.

Almost surely, 2^11644528896 is an apocalyptic number.

11644528896 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 11644528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24936440256).

11644528896 is an abundant number, since it is smaller than the sum of its proper divisors (38228351616).

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

11644528896 is a wasteful number, since it uses less digits than its factorization.

11644528896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 11644528896 in words is "eleven billion, six hundred forty-four million, five hundred twenty-eight thousand, eight hundred ninety-six".