545983831008 has 288 divisors, whose sum is σ = 1936541198592. Its totient is φ = 141756825600.

The previous prime is 545983831007. The next prime is 545983831069. The reversal of 545983831008 is 800138389545.

545983831008 is a `hidden beast` number, since 5 + 4 + 598 + 38 + 3 + 10 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545983831007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109347360 + ... + 109352352.

It is an arithmetic number, because the mean of its divisors is an integer number (6724101384).

Almost surely, 2^545983831008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545983831008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968270599296).

545983831008 is an abundant number, since it is smaller than the sum of its proper divisors (1390557367584).

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

545983831008 is a wasteful number, since it uses less digits than its factorization.

545983831008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9958 (or 9947 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 545983831008 in words is "five hundred forty-five billion, nine hundred eighty-three million, eight hundred thirty-one thousand, eight".