10448649644160 has 1536 divisors, whose sum is σ = 44147627596800. Its totient is φ = 2077647667200.

The previous prime is 10448649644117. The next prime is 10448649644201. The reversal of 10448649644160 is 6144694684401.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 10448649644160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4903166295 + ... + 4903168425.

It is an arithmetic number, because the mean of its divisors is an integer number (28741945050).

Almost surely, 2^{10448649644160} is an apocalyptic number.

10448649644160 is a gapful number since it is divisible by the number (10) 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 10448649644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22073813798400).

10448649644160 is an abundant number, since it is smaller than the sum of its proper divisors (33698977952640).

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

10448649644160 is a wasteful number, since it uses less digits than its factorization.

10448649644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 10448649644160 in words is "ten trillion, four hundred forty-eight billion, six hundred forty-nine million, six hundred forty-four thousand, one hundred sixty".