334334111113000 has 32 divisors (see below), whose sum is σ = 782341820006760. Its totient is φ = 133733644444800.

The previous prime is 334334111112943. The next prime is 334334111113081. The reversal of 334334111113000 is 311111433433.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19627859351556 + 314706251761444 = 4430334^2 + 17739962^2 .

It is a super-2 number, since 2×334334111113000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334334111113000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167167054557 + ... + 167167056556.

Almost surely, 2^{334334111113000} is an apocalyptic number.

It is an amenable number.

334334111113000 is an abundant number, since it is smaller than the sum of its proper divisors (448007708893760).

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

334334111113000 is a wasteful number, since it uses less digits than its factorization.

334334111113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334334111134 (or 334334111120 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 334334111113000 its reverse (311111433433), we get a palindrome (334645222546433).

The spelling of 334334111113000 in words is "three hundred thirty-four trillion, three hundred thirty-four billion, one hundred eleven million, one hundred thirteen thousand".