9011348400 has 120 divisors (see below), whose sum is σ = 29273197824. Its totient is φ = 2369158400.

The previous prime is 9011348393. The next prime is 9011348407. The reversal of 9011348400 is 48431109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9011348393) and next prime (9011348407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (9011348407) 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, 32317 + ... + 138083.

Almost surely, 2^9011348400 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 9011348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636598912).

9011348400 is an abundant number, since it is smaller than the sum of its proper divisors (20261849424).

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

9011348400 is a wasteful number, since it uses less digits than its factorization.

9011348400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105859 (or 105848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 9011348400 is about 94928.1222820719. The cubic root of 9011348400 is about 2080.9577381814.

Adding to 9011348400 its reverse (48431109), we get a palindrome (9059779509).

The spelling of 9011348400 in words is "nine billion, eleven million, three hundred forty-eight thousand, four hundred".