10454564224 has 128 divisors (see below), whose sum is σ = 23071910400. Its totient is φ = 4689045504.

The previous prime is 10454564203. The next prime is 10454564249. The reversal of 10454564224 is 42246545401.

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

It is a super-2 number, since 2×10454564224² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8806959 + ... + 8808145.

It is an arithmetic number, because the mean of its divisors is an integer number (180249300).

Almost surely, 2^10454564224 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 10454564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535955200).

10454564224 is an abundant number, since it is smaller than the sum of its proper divisors (12617346176).

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

10454564224 is a wasteful number, since it uses less digits than its factorization.

10454564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

It can be divided in two parts, 1045456 and 4224, that multiplied together give a palindrome (4416006144).

The spelling of 10454564224 in words is "ten billion, four hundred fifty-four million, five hundred sixty-four thousand, two hundred twenty-four".