11045450142720 has 1056 divisors, whose sum is σ = 44528512444416. Its totient is φ = 2479428403200.

The previous prime is 11045450142719. The next prime is 11045450142733. The reversal of 11045450142720 is 2724105454011.

11045450142720 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 545 + 0 + 1 + 42 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7030839535 + ... + 7030841105.

It is an arithmetic number, because the mean of its divisors is an integer number (42167151936).

Almost surely, 2^{11045450142720} is an apocalyptic number.

11045450142720 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 11045450142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264256222208).

11045450142720 is an abundant number, since it is smaller than the sum of its proper divisors (33483062301696).

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

11045450142720 is a wasteful number, since it uses less digits than its factorization.

11045450142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 11045450142720 its reverse (2724105454011), we get a palindrome (13769555596731).

The spelling of 11045450142720 in words is "eleven trillion, forty-five billion, four hundred fifty million, one hundred forty-two thousand, seven hundred twenty".