334603410401106 has 192 divisors, whose sum is σ = 922495392000000. Its totient is φ = 86892503090400.

The previous prime is 334603410401069. The next prime is 334603410401173. The reversal of 334603410401106 is 601104014306433.

334603410401106 is a `hidden beast` number, since 3 + 3 + 4 + 603 + 4 + 1 + 0 + 40 + 1 + 1 + 0 + 6 = 666.

It is a super-2 number, since 2×334603410401106² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339009301 + ... + 339994871.

It is an arithmetic number, because the mean of its divisors is an integer number (4804663500000).

Almost surely, 2^{334603410401106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334603410401106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461247696000000).

334603410401106 is an abundant number, since it is smaller than the sum of its proper divisors (587891981598894).

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

334603410401106 is a wasteful number, since it uses less digits than its factorization.

334603410401106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990610 (or 990593 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 334603410401106 its reverse (601104014306433), we get a palindrome (935707424707539).

The spelling of 334603410401106 in words is "three hundred thirty-four trillion, six hundred three billion, four hundred ten million, four hundred one thousand, one hundred six".