10334834012160 has 2496 divisors, whose sum is σ = 45978434144640. Its totient is φ = 2215265697792.

The previous prime is 10334834012149. The next prime is 10334834012189. The reversal of 10334834012160 is 6121043843301.

10334834012160 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 483 + 4 + 0 + 12 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37309869942 + ... + 37309870218.

Almost surely, 2^{10334834012160} is an apocalyptic number.

10334834012160 is a gapful number since it is divisible by the number (10) 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 10334834012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22989217072320).

10334834012160 is an abundant number, since it is smaller than the sum of its proper divisors (35643600132480).

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

10334834012160 is an frugal number, since it uses more digits than its factorization.

10334834012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10334834012160 its reverse (6121043843301), we get a palindrome (16455877855461).

The spelling of 10334834012160 in words is "ten trillion, three hundred thirty-four billion, eight hundred thirty-four million, twelve thousand, one hundred sixty".