338054446464 has 384 divisors, whose sum is σ = 1083022617600. Its totient is φ = 93058560000.

The previous prime is 338054446399. The next prime is 338054446469. The reversal of 338054446464 is 464644450833.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338054446464² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338054446469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146406142 + ... + 146408450.

It is an arithmetic number, because the mean of its divisors is an integer number (2820371400).

Almost surely, 2^338054446464 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 338054446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541511308800).

338054446464 is an abundant number, since it is smaller than the sum of its proper divisors (744968171136).

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

338054446464 is a wasteful number, since it uses less digits than its factorization.

338054446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 51.

The spelling of 338054446464 in words is "three hundred thirty-eight billion, fifty-four million, four hundred forty-six thousand, four hundred sixty-four".