338866342464 has 224 divisors, whose sum is σ = 1018306401280. Its totient is φ = 98590722048.

The previous prime is 338866342457. The next prime is 338866342499. The reversal of 338866342464 is 464243668833.

It is a super-2 number, since 2×338866342464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25934397 + ... + 25947459.

It is an arithmetic number, because the mean of its divisors is an integer number (4546010720).

Almost surely, 2^338866342464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338866342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509153200640).

338866342464 is an abundant number, since it is smaller than the sum of its proper divisors (679440058816).

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

338866342464 is a wasteful number, since it uses less digits than its factorization.

338866342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13657 (or 13647 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 57.

The spelling of 338866342464 in words is "three hundred thirty-eight billion, eight hundred sixty-six million, three hundred forty-two thousand, four hundred sixty-four".