10748444295456 has 288 divisors, whose sum is σ = 35058016401408. Its totient is φ = 3059955740160.

The previous prime is 10748444295349. The next prime is 10748444295467. The reversal of 10748444295456 is 65459244484701.

It is a happy number.

10748444295456 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 8 + 44 + 42 + 9 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 10748444295393 and 10748444295402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566140281 + ... + 1566147143.

It is an arithmetic number, because the mean of its divisors is an integer number (121729223616).

Almost surely, 2^{10748444295456} is an apocalyptic number.

10748444295456 is a gapful number since it is divisible by the number (16) 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 10748444295456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529008200704).

10748444295456 is an abundant number, since it is smaller than the sum of its proper divisors (24309572105952).

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

10748444295456 is a wasteful number, since it uses less digits than its factorization.

10748444295456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 10748444295456 in words is "ten trillion, seven hundred forty-eight billion, four hundred forty-four million, two hundred ninety-five thousand, four hundred fifty-six".