11445541632 has 432 divisors, whose sum is σ = 40712555520. Its totient is φ = 3019161600.

The previous prime is 11445541609. The next prime is 11445541633. The reversal of 11445541632 is 23614554411.

11445541632 is a `hidden beast` number, since 1 + 1 + 44 + 554 + 1 + 63 + 2 = 666.

It is a super-4 number, since 4×11445541632⁴ (a number of 41 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11445541633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12563257 + ... + 12564167.

Almost surely, 2^11445541632 is an apocalyptic number.

11445541632 is a gapful number since it is divisible by the number (12) 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 11445541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356277760).

11445541632 is an abundant number, since it is smaller than the sum of its proper divisors (29267013888).

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

11445541632 is a wasteful number, since it uses less digits than its factorization.

11445541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 983 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 11445541632 in words is "eleven billion, four hundred forty-five million, five hundred forty-one thousand, six hundred thirty-two".