1063354376448 has 864 divisors, whose sum is σ = 4083826446336. Its totient is φ = 268218998784.

The previous prime is 1063354376431. The next prime is 1063354376503. The reversal of 1063354376448 is 8446734533601.

1063354376448 is a `hidden beast` number, since 1 + 0 + 6 + 33 + 543 + 7 + 64 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1063354376448² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1063354376394 and 1063354376403.

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 95 ways as a sum of consecutive naturals, for example, 130197261 + ... + 130205427.

Almost surely, 2^{1063354376448} is an apocalyptic number.

1063354376448 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 1063354376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041913223168).

1063354376448 is an abundant number, since it is smaller than the sum of its proper divisors (3020472069888).

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

1063354376448 is an equidigital number, since it uses as much as digits as its factorization.

1063354376448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 1063354376448 in words is "one trillion, sixty-three billion, three hundred fifty-four million, three hundred seventy-six thousand, four hundred forty-eight".