11254788864 has 216 divisors, whose sum is σ = 36585842160. Its totient is φ = 3410288640.

The previous prime is 11254788827. The next prime is 11254788869. The reversal of 11254788864 is 46888745211.

11254788864 is a `hidden beast` number, since 1 + 12 + 547 + 8 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11254788864.

It is not an unprimeable number, because it can be changed into a prime (11254788869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829624 + ... + 843080.

Almost surely, 2^11254788864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11254788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292921080).

11254788864 is an abundant number, since it is smaller than the sum of its proper divisors (25331053296).

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

11254788864 is a wasteful number, since it uses less digits than its factorization.

11254788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504 (or 13473 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 11254788864 in words is "eleven billion, two hundred fifty-four million, seven hundred eighty-eight thousand, eight hundred sixty-four".