10224465696 has 144 divisors (see below), whose sum is σ = 29824835040. Its totient is φ = 3320755200.

The previous prime is 10224465679. The next prime is 10224465709. The reversal of 10224465696 is 69656442201.

10224465696 is a `hidden beast` number, since 102 + 24 + 465 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7045771 + ... + 7047221.

It is an arithmetic number, because the mean of its divisors is an integer number (207116910).

Almost surely, 2^10224465696 is an apocalyptic number.

10224465696 is a gapful number since it is divisible by the number (16) 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 10224465696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912417520).

10224465696 is an abundant number, since it is smaller than the sum of its proper divisors (19600369344).

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

10224465696 is a wasteful number, since it uses less digits than its factorization.

10224465696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10224465696 in words is "ten billion, two hundred twenty-four million, four hundred sixty-five thousand, six hundred ninety-six".