11546206045440 has 288 divisors, whose sum is σ = 40246296685056. Its totient is φ = 2797809377280.

The previous prime is 11546206045433. The next prime is 11546206045471. The reversal of 11546206045440 is 4454060264511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11546206045392 and 11546206045401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 94683387 + ... + 94805253.

It is an arithmetic number, because the mean of its divisors is an integer number (139744085712).

Almost surely, 2^{11546206045440} is an apocalyptic number.

11546206045440 is a gapful number since it is divisible by the number (10) 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 11546206045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20123148342528).

11546206045440 is an abundant number, since it is smaller than the sum of its proper divisors (28700090639616).

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

11546206045440 is a wasteful number, since it uses less digits than its factorization.

11546206045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124145 (or 124131 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 11546206045440 in words is "eleven trillion, five hundred forty-six billion, two hundred six million, forty-five thousand, four hundred forty".