44531481600000 has 1008 divisors, whose sum is σ = 161540887815216. Its totient is φ = 11819581440000.

The previous prime is 44531481599963. The next prime is 44531481600041. The reversal of 44531481600000 is 618413544.

44531481600000 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 1 + 48 + 1 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×44531481600000² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79948799722 + ... + 79948800278.

It is an arithmetic number, because the mean of its divisors is an integer number (160258817277).

Almost surely, 2^{44531481600000} is an apocalyptic number.

44531481600000 is a gapful number since it is divisible by the number (40) 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 44531481600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80770443907608).

44531481600000 is an abundant number, since it is smaller than the sum of its proper divisors (117009406215216).

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

44531481600000 is an frugal number, since it uses more digits than its factorization.

44531481600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 44531481600000 in words is "forty-four trillion, five hundred thirty-one billion, four hundred eighty-one million, six hundred thousand".