9014450400 has 216 divisors, whose sum is σ = 32087024424. Its totient is φ = 2381184000.

The previous prime is 9014450377. The next prime is 9014450411. The reversal of 9014450400 is 40544109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 764550 + ... + 776250.

It is an arithmetic number, because the mean of its divisors is an integer number (148551039).

Almost surely, 2^9014450400 is an apocalyptic number.

9014450400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9014450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043512212).

9014450400 is an abundant number, since it is smaller than the sum of its proper divisors (23072574024).

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

9014450400 is a wasteful number, since it uses less digits than its factorization.

9014450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11834 (or 11818 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 9014450400 is about 94944.4595539940. The cubic root of 9014450400 is about 2081.1964886277.

Adding to 9014450400 its reverse (40544109), we get a palindrome (9054994509).

The spelling of 9014450400 in words is "nine billion, fourteen million, four hundred fifty thousand, four hundred".