9129397248 has 264 divisors, whose sum is σ = 28790973120. Its totient is φ = 2881474560.

The previous prime is 9129397247. The next prime is 9129397253. The reversal of 9129397248 is 8427939219.

9129397248 is a `hidden beast` number, since 9 + 1 + 2 + 9 + 397 + 248 = 666.

It is a super-2 number, since 2×9129397248² (a number of 21 digits) contains 22 as substring.

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 = 9129397194 and 9129397203.

It is not an unprimeable number, because it can be changed into a prime (9129397241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4726843 + ... + 4728773.

Almost surely, 2^9129397248 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 9129397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395486560).

9129397248 is an abundant number, since it is smaller than the sum of its proper divisors (19661575872).

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

9129397248 is a wasteful number, since it uses less digits than its factorization.

9129397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1955 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 9129397248 is about 95547.8793485235. The cubic root of 9129397248 is about 2090.0052080485.

The spelling of 9129397248 in words is "nine billion, one hundred twenty-nine million, three hundred ninety-seven thousand, two hundred forty-eight".