10063008514304 has 72 divisors (see below), whose sum is σ = 21273067033848. Its totient is φ = 4734467440640.

The previous prime is 10063008514301. The next prime is 10063008514357. The reversal of 10063008514304 is 40341580036001.

It can be written as a sum of positive squares in 4 ways, for example, as 2247360774400 + 7815647739904 = 1499120^2 + 2795648^2 .

It is not an unprimeable number, because it can be changed into a prime (10063008514301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19243304 + ... + 19759320.

It is an arithmetic number, because the mean of its divisors is an integer number (295459264359).

Almost surely, 2^{10063008514304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10063008514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10636533516924).

10063008514304 is an abundant number, since it is smaller than the sum of its proper divisors (11210058519544).

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

10063008514304 is an equidigital number, since it uses as much as digits as its factorization.

10063008514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520531 (or 520517 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 10063008514304 in words is "ten trillion, sixty-three billion, eight million, five hundred fourteen thousand, three hundred four".