8925730566144 has 624 divisors, whose sum is σ = 28532473045920. Its totient is φ = 2473297182720.

The previous prime is 8925730566127. The next prime is 8925730566157. The reversal of 8925730566144 is 4416650375298.

It is a happy number.

It is a super-3 number, since 3×8925730566144³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 2681203072 + ... + 2681206400.

It is a 1-persistent number, because it is pandigital, but 2⋅8925730566144 = 17851461132288 is not.

Almost surely, 2^{8925730566144} is an apocalyptic number.

8925730566144 is a gapful number since it is divisible by the number (84) 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 8925730566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266236522960).

8925730566144 is an abundant number, since it is smaller than the sum of its proper divisors (19606742479776).

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

8925730566144 is a wasteful number, since it uses less digits than its factorization.

8925730566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 8925730566144 in words is "eight trillion, nine hundred twenty-five billion, seven hundred thirty million, five hundred sixty-six thousand, one hundred forty-four".