338406677953 has 8 divisors (see below), whose sum is σ = 360509335200. Its totient is φ = 316733198688.

The previous prime is 338406677923. The next prime is 338406677957. The reversal of 338406677953 is 359776604833.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-338406677953 is a prime.

It is a super-2 number, since 2×338406677953² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 338406677891 and 338406677900.

It is not an unprimeable number, because it can be changed into a prime (338406677957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107292868 + ... + 107296021.

It is an arithmetic number, because the mean of its divisors is an integer number (45063666900).

Almost surely, 2^338406677953 is an apocalyptic number.

It is an amenable number.

338406677953 is a deficient number, since it is larger than the sum of its proper divisors (22102657247).

338406677953 is a wasteful number, since it uses less digits than its factorization.

338406677953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214588991.

The product of its (nonzero) digits is 68584320, while the sum is 61.

The spelling of 338406677953 in words is "three hundred thirty-eight billion, four hundred six million, six hundred seventy-seven thousand, nine hundred fifty-three".