9488537856 has 288 divisors, whose sum is σ = 32557486080. Its totient is φ = 2669635584.

The previous prime is 9488537843. The next prime is 9488537857. The reversal of 9488537856 is 6587358849.

9488537856 is a `hidden beast` number, since 9 + 48 + 8 + 537 + 8 + 56 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9488537793 and 9488537802.

It is not an unprimeable number, because it can be changed into a prime (9488537857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3240265 + ... + 3243191.

Almost surely, 2^9488537856 is an apocalyptic number.

9488537856 is a gapful number since it is divisible by the number (96) 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 9488537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278743040).

9488537856 is an abundant number, since it is smaller than the sum of its proper divisors (23068948224).

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

9488537856 is a wasteful number, since it uses less digits than its factorization.

9488537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3006 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The square root of 9488537856 is about 97409.1261432932. The cubic root of 9488537856 is about 2117.0596665223.

The spelling of 9488537856 in words is "nine billion, four hundred eighty-eight million, five hundred thirty-seven thousand, eight hundred fifty-six".