10457866445472 has 72 divisors (see below), whose sum is σ = 29953511471520. Its totient is φ = 3460876652160.

The previous prime is 10457866445449. The next prime is 10457866445491. The reversal of 10457866445472 is 27454466875401.

10457866445472 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 86 + 6 + 4 + 4 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 130578804 + ... + 130658867.

It is an arithmetic number, because the mean of its divisors is an integer number (416020992660).

Almost surely, 2^{10457866445472} is an apocalyptic number.

10457866445472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10457866445472 is an abundant number, since it is smaller than the sum of its proper divisors (19495645026048).

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

10457866445472 is a wasteful number, since it uses less digits than its factorization.

10457866445472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261237826 (or 261237815 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 10457866445472 in words is "ten trillion, four hundred fifty-seven billion, eight hundred sixty-six million, four hundred forty-five thousand, four hundred seventy-two".