10468584554824 has 128 divisors (see below), whose sum is σ = 22161807360000. Its totient is φ = 4595122586880.

The previous prime is 10468584554821. The next prime is 10468584554843. The reversal of 10468584554824 is 42845548586401.

It is not an unprimeable number, because it can be changed into a prime (10468584554821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107698357 + ... + 107795515.

It is an arithmetic number, because the mean of its divisors is an integer number (173139120000).

Almost surely, 2^{10468584554824} 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 10468584554824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080903680000).

10468584554824 is an abundant number, since it is smaller than the sum of its proper divisors (11693222805176).

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

10468584554824 is a wasteful number, since it uses less digits than its factorization.

10468584554824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97571 (or 97567 counting only the distinct ones).

The product of its (nonzero) digits is 196608000, while the sum is 64.

The spelling of 10468584554824 in words is "ten trillion, four hundred sixty-eight billion, five hundred eighty-four million, five hundred fifty-four thousand, eight hundred twenty-four".