11564843136 has 576 divisors, whose sum is σ = 40951955520. Its totient is φ = 2828390400.

The previous prime is 11564843123. The next prime is 11564843149. The reversal of 11564843136 is 63134846511.

It is an interprime number because it is at equal distance from previous prime (11564843123) and next prime (11564843149).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 312563310 + ... + 312563346.

It is an arithmetic number, because the mean of its divisors is an integer number (71097145).

Almost surely, 2^11564843136 is an apocalyptic number.

11564843136 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 11564843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20475977760).

11564843136 is an abundant number, since it is smaller than the sum of its proper divisors (29387112384).

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

11564843136 is a wasteful number, since it uses less digits than its factorization.

11564843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 91 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 11564843136 in words is "eleven billion, five hundred sixty-four million, eight hundred forty-three thousand, one hundred thirty-six".