11644000128 has 576 divisors, whose sum is σ = 39466692720. Its totient is φ = 3404021760.

The previous prime is 11644000127. The next prime is 11644000129. The reversal of 11644000128 is 82100044611.

It is a happy number.

11644000128 is a `hidden beast` number, since 1 + 1 + 644 + 0 + 0 + 0 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11644000127) and next prime (11644000129).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11644000127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190885218 + ... + 190885278.

Almost surely, 2^11644000128 is an apocalyptic number.

11644000128 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 11644000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733346360).

11644000128 is an abundant number, since it is smaller than the sum of its proper divisors (27822692592).

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

11644000128 is an equidigital number, since it uses as much as digits as its factorization.

11644000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11644000128 its reverse (82100044611), we get a palindrome (93744044739).

The spelling of 11644000128 in words is "eleven billion, six hundred forty-four million, one hundred twenty-eight", and thus it is an aban number.