11444542461600 has 288 divisors, whose sum is σ = 37966050017280. Its totient is φ = 2993932800000.

The previous prime is 11444542461589. The next prime is 11444542461619. The reversal of 11444542461600 is 616424544411.

It is a super-3 number, since 3×11444542461600³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26205025 + ... + 26638175.

It is an arithmetic number, because the mean of its divisors is an integer number (131826562560).

Almost surely, 2^{11444542461600} is an apocalyptic number.

11444542461600 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 11444542461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983025008640).

11444542461600 is an abundant number, since it is smaller than the sum of its proper divisors (26521507555680).

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

11444542461600 is a wasteful number, since it uses less digits than its factorization.

11444542461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433384 (or 433371 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 11444542461600 in words is "eleven trillion, four hundred forty-four billion, five hundred forty-two million, four hundred sixty-one thousand, six hundred".