63346345012104 has 256 divisors, whose sum is σ = 200361882009600. Its totient is φ = 16210687852800.

The previous prime is 63346345012079. The next prime is 63346345012117. The reversal of 63346345012104 is 40121054364336.

63346345012104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191267019 + ... + 191597925.

It is an arithmetic number, because the mean of its divisors is an integer number (782663601600).

Almost surely, 2^{63346345012104} 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 63346345012104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100180941004800).

63346345012104 is an abundant number, since it is smaller than the sum of its proper divisors (137015536997496).

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

63346345012104 is a wasteful number, since it uses less digits than its factorization.

63346345012104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332464 (or 332460 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 63346345012104 in words is "sixty-three trillion, three hundred forty-six billion, three hundred forty-five million, twelve thousand, one hundred four".