10448745519744 has 96 divisors (see below), whose sum is σ = 34362689905440. Its totient is φ = 2985355860480.

The previous prime is 10448745519733. The next prime is 10448745519791. The reversal of 10448745519744 is 44791554784401.

10448745519744 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 8 + 7 + 4 + 551 + 9 + 74 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 647855622 + ... + 647871749.

It is an arithmetic number, because the mean of its divisors is an integer number (357944686515).

Almost surely, 2^{10448745519744} is an apocalyptic number.

10448745519744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10448745519744 is an abundant number, since it is smaller than the sum of its proper divisors (23913944385696).

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

10448745519744 is a wasteful number, since it uses less digits than its factorization.

10448745519744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295727398 (or 1295727383 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 10448745519744 in words is "ten trillion, four hundred forty-eight billion, seven hundred forty-five million, five hundred nineteen thousand, seven hundred forty-four".