9182079648 has 288 divisors, whose sum is σ = 31674779136. Its totient is φ = 2561787648.

The previous prime is 9182079637. The next prime is 9182079679. The reversal of 9182079648 is 8469702819.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 9182079594 and 9182079603.

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, 2338615 + ... + 2342537.

It is an arithmetic number, because the mean of its divisors is an integer number (109981872).

Almost surely, 2^9182079648 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 9182079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837389568).

9182079648 is an abundant number, since it is smaller than the sum of its proper divisors (22492699488).

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

9182079648 is a wasteful number, since it uses less digits than its factorization.

9182079648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 9182079648 is about 95823.1686389049. The cubic root of 9182079648 is about 2094.0177172744.

The spelling of 9182079648 in words is "nine billion, one hundred eighty-two million, seventy-nine thousand, six hundred forty-eight".