11544460640 has 96 divisors (see below), whose sum is σ = 28910196000. Its totient is φ = 4341325824.

The previous prime is 11544460637. The next prime is 11544460643. The reversal of 11544460640 is 4606444511.

It is an interprime number because it is at equal distance from previous prime (11544460637) and next prime (11544460643).

It is a self number, because there is not a number n which added to its sum of digits gives 11544460640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544460643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3297611 + ... + 3301109.

It is an arithmetic number, because the mean of its divisors is an integer number (301147875).

Almost surely, 2^11544460640 is an apocalyptic number.

11544460640 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 11544460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14455098000).

11544460640 is an abundant number, since it is smaller than the sum of its proper divisors (17365735360).

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

11544460640 is a wasteful number, since it uses less digits than its factorization.

11544460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 11544460640 in words is "eleven billion, five hundred forty-four million, four hundred sixty thousand, six hundred forty".