11456909568 has 432 divisors, whose sum is σ = 38165044736. Its totient is φ = 3404021760.

The previous prime is 11456909567. The next prime is 11456909573. The reversal of 11456909568 is 86590965411.

11456909568 is a `hidden beast` number, since 1 + 14 + 5 + 69 + 0 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11456909561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25069596 + ... + 25070052.

Almost surely, 2^11456909568 is an apocalyptic number.

11456909568 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 11456909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19082522368).

11456909568 is an abundant number, since it is smaller than the sum of its proper divisors (26708135168).

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

11456909568 is an equidigital number, since it uses as much as digits as its factorization.

11456909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 11456909568 in words is "eleven billion, four hundred fifty-six million, nine hundred nine thousand, five hundred sixty-eight".