11463544512 has 252 divisors, whose sum is σ = 40236388920. Its totient is φ = 3102769152.

The previous prime is 11463544507. The next prime is 11463544523. The reversal of 11463544512 is 21544536411.

11463544512 is a `hidden beast` number, since 1 + 1 + 4 + 63 + 544 + 51 + 2 = 666.

11463544512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 525568 + ... + 546944.

It is an arithmetic number, because the mean of its divisors is an integer number (159668210).

Almost surely, 2^11463544512 is an apocalyptic number.

11463544512 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 11463544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118194460).

11463544512 is an abundant number, since it is smaller than the sum of its proper divisors (28772844408).

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

11463544512 is a wasteful number, since it uses less digits than its factorization.

11463544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21428 (or 21408 counting only the distinct ones).

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

The spelling of 11463544512 in words is "eleven billion, four hundred sixty-three million, five hundred forty-four thousand, five hundred twelve".