9066848400 has 375 divisors, whose sum is σ = 34019285641. Its totient is φ = 2312703360.

The previous prime is 9066848381. The next prime is 9066848429. The reversal of 9066848400 is 48486609.

It is a happy number.

The square root of 9066848400 is 95220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3264065424 + 5802782976 = 57132^2 + 76176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 394210789 + ... + 394210811.

Almost surely, 2^9066848400 is an apocalyptic number.

9066848400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9066848400 is the 95220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9066848400

9066848400 is an abundant number, since it is smaller than the sum of its proper divisors (24952437241).

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

9066848400 is an frugal number, since it uses more digits than its factorization.

9066848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 9066848400 is about 2085.2211348708.

The spelling of 9066848400 in words is "nine billion, sixty-six million, eight hundred forty-eight thousand, four hundred".