10225614784 has 448 divisors, whose sum is σ = 28441497600. Its totient is φ = 3600629760.

The previous prime is 10225614757. The next prime is 10225614787. The reversal of 10225614784 is 48741652201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225614787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192936102 + ... + 192936154.

Almost surely, 2^10225614784 is an apocalyptic number.

10225614784 is a gapful number since it is divisible by the number (14) 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 10225614784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220748800).

10225614784 is an abundant number, since it is smaller than the sum of its proper divisors (18215882816).

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

10225614784 is a wasteful number, since it uses less digits than its factorization.

10225614784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 10225614784 in words is "ten billion, two hundred twenty-five million, six hundred fourteen thousand, seven hundred eighty-four".