10225448576 has 192 divisors, whose sum is σ = 25430436000. Its totient is φ = 4070836224.

The previous prime is 10225448573. The next prime is 10225448581. The reversal of 10225448576 is 67584452201.

10225448576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10225448573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6315095 + ... + 6316713.

Almost surely, 2^10225448576 is an apocalyptic number.

10225448576 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 10225448576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12715218000).

10225448576 is an abundant number, since it is smaller than the sum of its proper divisors (15204987424).

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

10225448576 is a wasteful number, since it uses less digits than its factorization.

10225448576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 10225448576 in words is "ten billion, two hundred twenty-five million, four hundred forty-eight thousand, five hundred seventy-six".