11849664640 has 128 divisors (see below), whose sum is σ = 32530248000. Its totient is φ = 4082135040.

The previous prime is 11849664637. The next prime is 11849664641. The reversal of 11849664640 is 4646694811.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11849664641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89466 + ... + 178054.

Almost surely, 2^11849664640 is an apocalyptic number.

11849664640 is a gapful number since it is divisible by the number (10) 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 11849664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265124000).

11849664640 is an abundant number, since it is smaller than the sum of its proper divisors (20680583360).

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

11849664640 is a wasteful number, since it uses less digits than its factorization.

11849664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88638 (or 88626 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 11849664640 in words is "eleven billion, eight hundred forty-nine million, six hundred sixty-four thousand, six hundred forty".