10563363456048 has 240 divisors, whose sum is σ = 33935810781600. Its totient is φ = 3038541520896.

The previous prime is 10563363455993. The next prime is 10563363456083. The reversal of 10563363456048 is 84065436336501.

10563363456048 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 3 + 3 + 6 + 34 + 560 + 48 = 666.

It is a super-2 number, since 2×10563363456048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10563363455985 and 10563363456003.

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, 3627915 + ... + 5855637.

It is an arithmetic number, because the mean of its divisors is an integer number (141399211590).

Almost surely, 2^{10563363456048} is an apocalyptic number.

10563363456048 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 10563363456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967905390800).

10563363456048 is an abundant number, since it is smaller than the sum of its proper divisors (23372447325552).

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

10563363456048 is a wasteful number, since it uses less digits than its factorization.

10563363456048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227916 (or 2227907 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 10563363456048 in words is "ten trillion, five hundred sixty-three billion, three hundred sixty-three million, four hundred fifty-six thousand, forty-eight".