338337400068 has 36 divisors (see below), whose sum is σ = 905550101820. Its totient is φ = 106145066496.

The previous prime is 338337399991. The next prime is 338337400087. The reversal of 338337400068 is 860004733833.

It can be written as a sum of positive squares in 2 ways, for example, as 294406078464 + 43931321604 = 542592^2 + 209598^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×338337400068² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338337399996 and 338337400032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276418833 + ... + 276420056.

It is an arithmetic number, because the mean of its divisors is an integer number (25154169495).

Almost surely, 2^338337400068 is an apocalyptic number.

It is an amenable number.

338337400068 is an abundant number, since it is smaller than the sum of its proper divisors (567212701752).

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

338337400068 is a wasteful number, since it uses less digits than its factorization.

338337400068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552838916 (or 552838911 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 338337400068 in words is "three hundred thirty-eight billion, three hundred thirty-seven million, four hundred thousand, sixty-eight".