338406677951 has 8 divisors (see below), whose sum is σ = 340232547120. Its totient is φ = 336583836288.

The previous prime is 338406677923. The next prime is 338406677957. The reversal of 338406677951 is 159776604833.

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

It is a cyclic number.

It is not a de Polignac number, because 338406677951 - 2⁶ = 338406677887 is a prime.

It is a super-3 number, since 3×338406677951³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 532541 + ... + 980006.

It is an arithmetic number, because the mean of its divisors is an integer number (42529068390).

Almost surely, 2^338406677951 is an apocalyptic number.

338406677951 is a deficient number, since it is larger than the sum of its proper divisors (1825869169).

338406677951 is a wasteful number, since it uses less digits than its factorization.

338406677951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513753.

The product of its (nonzero) digits is 22861440, while the sum is 59.

The spelling of 338406677951 in words is "three hundred thirty-eight billion, four hundred six million, six hundred seventy-seven thousand, nine hundred fifty-one".