63085366344 has 576 divisors, whose sum is σ = 220843627200. Its totient is φ = 14870338560.

The previous prime is 63085366301. The next prime is 63085366363. The reversal of 63085366344 is 44366358036.

It is a junction number, because it is equal to n+sod(n) for n = 63085366293 and 63085366302.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123939562 + ... + 123940070.

It is an arithmetic number, because the mean of its divisors is an integer number (383409075).

Almost surely, 2^63085366344 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 63085366344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110421813600).

63085366344 is an abundant number, since it is smaller than the sum of its proper divisors (157758260856).

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

63085366344 is a wasteful number, since it uses less digits than its factorization.

63085366344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 63085366344 in words is "sixty-three billion, eighty-five million, three hundred sixty-six thousand, three hundred forty-four".