11546320744140 has 576 divisors, whose sum is σ = 41302428539904. Its totient is φ = 2388020963328.

The previous prime is 11546320744121. The next prime is 11546320744163. The reversal of 11546320744140 is 4144702364511.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11546320744092 and 11546320744101.

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 191 ways as a sum of consecutive naturals, for example, 3255233847 + ... + 3255237393.

It is an arithmetic number, because the mean of its divisors is an integer number (71705605104).

Almost surely, 2^{11546320744140} is an apocalyptic number.

11546320744140 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 11546320744140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651214269952).

11546320744140 is an abundant number, since it is smaller than the sum of its proper divisors (29756107795764).

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

11546320744140 is a wasteful number, since it uses less digits than its factorization.

11546320744140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5246 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 11546320744140 in words is "eleven trillion, five hundred forty-six billion, three hundred twenty million, seven hundred forty-four thousand, one hundred forty".