10454224000 has 128 divisors (see below), whose sum is σ = 28355184000. Its totient is φ = 3801472000.

The previous prime is 10454223991. The next prime is 10454224003. The reversal of 10454224000 is 42245401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10454224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146301 + ... + 205699.

It is an arithmetic number, because the mean of its divisors is an integer number (221524875).

Almost surely, 2^10454224000 is an apocalyptic number.

10454224000 is a gapful number since it is divisible by the number (10) 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 10454224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177592000).

10454224000 is an abundant number, since it is smaller than the sum of its proper divisors (17900960000).

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

10454224000 is an equidigital number, since it uses as much as digits as its factorization.

10454224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59439 (or 59417 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 10454224000 its reverse (42245401), we get a palindrome (10496469401).

The spelling of 10454224000 in words is "ten billion, four hundred fifty-four million, two hundred twenty-four thousand".