9057129984 has 480 divisors, whose sum is σ = 32172940800. Its totient is φ = 2394095616.

The previous prime is 9057129979. The next prime is 9057130021. The reversal of 9057129984 is 4899217509.

It is a self number, because there is not a number n which added to its sum of digits gives 9057129984.

It is a congruent number.

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, 45513117 + ... + 45513315.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 2^9057129984 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 9057129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

9057129984 is an abundant number, since it is smaller than the sum of its proper divisors (23115810816).

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

9057129984 is a wasteful number, since it uses less digits than its factorization.

9057129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 9057129984 is about 95168.9549380469. The cubic root of 9057129984 is about 2084.4758449858.

The spelling of 9057129984 in words is "nine billion, fifty-seven million, one hundred twenty-nine thousand, nine hundred eighty-four".