11456434004064 has 192 divisors, whose sum is σ = 37645889702400. Its totient is φ = 2974489878528.

The previous prime is 11456434003991. The next prime is 11456434004083. The reversal of 11456434004064 is 46040043465411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16959034 + ... + 17621625.

It is an arithmetic number, because the mean of its divisors is an integer number (196072342200).

Almost surely, 2^{11456434004064} is an apocalyptic number.

11456434004064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11456434004064 is an abundant number, since it is smaller than the sum of its proper divisors (26189455698336).

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

11456434004064 is a wasteful number, since it uses less digits than its factorization.

11456434004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34580725 (or 34580717 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 11456434004064 its reverse (46040043465411), we get a palindrome (57496477469475).

The spelling of 11456434004064 in words is "eleven trillion, four hundred fifty-six billion, four hundred thirty-four million, four thousand, sixty-four".