10458647472 has 240 divisors, whose sum is σ = 33947232000. Its totient is φ = 2716167168.

The previous prime is 10458647471. The next prime is 10458647509. The reversal of 10458647472 is 27474685401.

10458647472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10458647471) 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 47 ways as a sum of consecutive naturals, for example, 3803154 + ... + 3805902.

It is an arithmetic number, because the mean of its divisors is an integer number (141446800).

Almost surely, 2^10458647472 is an apocalyptic number.

10458647472 is a gapful number since it is divisible by the number (12) 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 10458647472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973616000).

10458647472 is an abundant number, since it is smaller than the sum of its proper divisors (23488584528).

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

10458647472 is a wasteful number, since it uses less digits than its factorization.

10458647472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 10458647472 in words is "ten billion, four hundred fifty-eight million, six hundred forty-seven thousand, four hundred seventy-two".