11645641728 has 352 divisors, whose sum is σ = 41503334400. Its totient is φ = 3151208448.

The previous prime is 11645641703. The next prime is 11645641741. The reversal of 11645641728 is 82714654611.

11645641728 is a `hidden beast` number, since 1 + 1 + 64 + 564 + 1 + 7 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3675601 + ... + 3678767.

It is an arithmetic number, because the mean of its divisors is an integer number (117907200).

Almost surely, 2^11645641728 is an apocalyptic number.

11645641728 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 11645641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751667200).

11645641728 is an abundant number, since it is smaller than the sum of its proper divisors (29857692672).

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

11645641728 is a wasteful number, since it uses less digits than its factorization.

11645641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3198 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 11645641728 in words is "eleven billion, six hundred forty-five million, six hundred forty-one thousand, seven hundred twenty-eight".