11545412544 has 112 divisors (see below), whose sum is σ = 34253322400. Its totient is φ = 3813101568.

The previous prime is 11545412539. The next prime is 11545412563. The reversal of 11545412544 is 44521454511.

11545412544 is a `hidden beast` number, since 1 + 1 + 54 + 54 + 12 + 544 = 666.

It is a super-2 number, since 2×11545412544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11545412499 and 11545412508.

It is a congruent number.

It is an unprimeable number.

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, 157704 + ... + 219000.

Almost surely, 2^11545412544 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 11545412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126661200).

11545412544 is an abundant number, since it is smaller than the sum of its proper divisors (22707909856).

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

11545412544 is a wasteful number, since it uses less digits than its factorization.

11545412544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61427 (or 61411 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 11545412544 in words is "eleven billion, five hundred forty-five million, four hundred twelve thousand, five hundred forty-four".