11453445100064 has 192 divisors, whose sum is σ = 25784377436160. Its totient is φ = 4961858964480.

The previous prime is 11453445100001. The next prime is 11453445100079. The reversal of 11453445100064 is 46000154435411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156160169 + ... + 156233495.

It is an arithmetic number, because the mean of its divisors is an integer number (134293632480).

Almost surely, 2^{11453445100064} 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 11453445100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12892188718080).

11453445100064 is an abundant number, since it is smaller than the sum of its proper divisors (14330932336096).

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

11453445100064 is a wasteful number, since it uses less digits than its factorization.

11453445100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73631 (or 73623 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 11453445100064 its reverse (46000154435411), we get a palindrome (57453599535475).

The spelling of 11453445100064 in words is "eleven trillion, four hundred fifty-three billion, four hundred forty-five million, one hundred thousand, sixty-four".