10304342420064 has 384 divisors, whose sum is σ = 34896564218880. Its totient is φ = 2583391641600.

The previous prime is 10304342420027. The next prime is 10304342420083. The reversal of 10304342420064 is 46002424340301.

10304342420064 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1153509742 + ... + 1153518674.

It is an arithmetic number, because the mean of its divisors is an integer number (90876469320).

Almost surely, 2^{10304342420064} is an apocalyptic number.

10304342420064 is a gapful number since it is divisible by the number (14) 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 10304342420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448282109440).

10304342420064 is an abundant number, since it is smaller than the sum of its proper divisors (24592221798816).

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

10304342420064 is a wasteful number, since it uses less digits than its factorization.

10304342420064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14374 (or 14366 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10304342420064 its reverse (46002424340301), we get a palindrome (56306766760365).

The spelling of 10304342420064 in words is "ten trillion, three hundred four billion, three hundred forty-two million, four hundred twenty thousand, sixty-four".