8925019488 has 288 divisors, whose sum is σ = 31902474240. Its totient is φ = 2299207680.

The previous prime is 8925019483. The next prime is 8925019513. The reversal of 8925019488 is 8849105298.

8925019488 is a `hidden beast` number, since 8 + 92 + 501 + 9 + 48 + 8 = 666.

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

It is a super-3 number, since 3×8925019488³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8925019483) 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, 2814768 + ... + 2817936.

It is an arithmetic number, because the mean of its divisors is an integer number (110772480).

Almost surely, 2^8925019488 is an apocalyptic number.

8925019488 is a gapful number since it is divisible by the number (88) 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 8925019488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15951237120).

8925019488 is an abundant number, since it is smaller than the sum of its proper divisors (22977454752).

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

8925019488 is a wasteful number, since it uses less digits than its factorization.

8925019488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The square root of 8925019488 is about 94472.3212798331. The cubic root of 8925019488 is about 2074.2911974382.

The spelling of 8925019488 in words is "eight billion, nine hundred twenty-five million, nineteen thousand, four hundred eighty-eight".