10334234064 has 240 divisors, whose sum is σ = 35663431680. Its totient is φ = 2542821120.

The previous prime is 10334234041. The next prime is 10334234107. The reversal of 10334234064 is 46043243301.

It is a super-3 number, since 3×10334234064³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 481057 + ... + 502079.

It is an arithmetic number, because the mean of its divisors is an integer number (148597632).

Almost surely, 2^10334234064 is an apocalyptic number.

10334234064 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 10334234064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831715840).

10334234064 is an abundant number, since it is smaller than the sum of its proper divisors (25329197616).

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

10334234064 is a wasteful number, since it uses less digits than its factorization.

10334234064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21078 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 10334234064 its reverse (46043243301), we get a palindrome (56377477365).

The spelling of 10334234064 in words is "ten billion, three hundred thirty-four million, two hundred thirty-four thousand, sixty-four".