532306081944 has 1536 divisors, whose sum is σ = 2066448384000. Its totient is φ = 124439390208.

The previous prime is 532306081913. The next prime is 532306082003. The reversal of 532306081944 is 449180603235.

532306081944 is a `hidden beast` number, since 5 + 3 + 2 + 30 + 608 + 1 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 532306081944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4191386409 + ... + 4191386535.

It is an arithmetic number, because the mean of its divisors is an integer number (1345344000).

Almost surely, 2^532306081944 is an apocalyptic number.

532306081944 is a gapful number since it is divisible by the number (54) 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 532306081944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033224192000).

532306081944 is an abundant number, since it is smaller than the sum of its proper divisors (1534142302056).

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

532306081944 is a wasteful number, since it uses less digits than its factorization.

532306081944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 532306081944 in words is "five hundred thirty-two billion, three hundred six million, eighty-one thousand, nine hundred forty-four".