338775642864 has 320 divisors, whose sum is σ = 1076005416960. Its totient is φ = 102848486400.

The previous prime is 338775642857. The next prime is 338775642901. The reversal of 338775642864 is 468246577833.

338775642864 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 7 + 564 + 2 + 8 + 64 = 666.

It is a super-2 number, since 2×338775642864² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18431599 + ... + 18449969.

It is an arithmetic number, because the mean of its divisors is an integer number (3362516928).

Almost surely, 2^338775642864 is an apocalyptic number.

338775642864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338775642864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538002708480).

338775642864 is an abundant number, since it is smaller than the sum of its proper divisors (737229774096).

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

338775642864 is a wasteful number, since it uses less digits than its factorization.

338775642864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18448 (or 18424 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 338775642864 in words is "three hundred thirty-eight billion, seven hundred seventy-five million, six hundred forty-two thousand, eight hundred sixty-four".