10412588448 has 96 divisors (see below), whose sum is σ = 30602214720. Its totient is φ = 3444330240.

The previous prime is 10412588447. The next prime is 10412588491. The reversal of 10412588448 is 84488521401.

10412588448 is a `hidden beast` number, since 1 + 0 + 4 + 125 + 88 + 448 = 666.

10412588448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) 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 (10412588441) 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 15 ways as a sum of consecutive naturals, for example, 67186 + ... + 159182.

It is an arithmetic number, because the mean of its divisors is an integer number (318773070).

Almost surely, 2^10412588448 is an apocalyptic number.

10412588448 is a gapful number since it is divisible by the number (18) 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 10412588448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301107360).

10412588448 is an abundant number, since it is smaller than the sum of its proper divisors (20189626272).

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

10412588448 is a wasteful number, since it uses less digits than its factorization.

10412588448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92147 (or 92133 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 10412588448 in words is "ten billion, four hundred twelve million, five hundred eighty-eight thousand, four hundred forty-eight".