9007338648 has 128 divisors (see below), whose sum is σ = 28118016000. Its totient is φ = 2335969920.

The previous prime is 9007338623. The next prime is 9007338661. The reversal of 9007338648 is 8468337009.

It is a Cunningham number, because it is equal to 94907²-1.

It is a super-2 number, since 2×9007338648² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9007338597 and 9007338606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325323 + ... + 1332101.

It is an arithmetic number, because the mean of its divisors is an integer number (219672000).

Almost surely, 2^9007338648 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 9007338648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14059008000).

9007338648 is an abundant number, since it is smaller than the sum of its proper divisors (19110677352).

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

9007338648 is a wasteful number, since it uses less digits than its factorization.

9007338648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7521 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 9007338648 is about 94906.9999947317. Note that the first 5 decimals coincide. The cubic root of 9007338648 is about 2080.6490399338.

The spelling of 9007338648 in words is "nine billion, seven million, three hundred thirty-eight thousand, six hundred forty-eight".