338464014336 has 510 divisors, whose sum is σ = 1145445197520. Its totient is φ = 96299384832.

The previous prime is 338464014289. The next prime is 338464014337. The reversal of 338464014336 is 633410464833.

It is a super-2 number, since 2×338464014336² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338464014291 and 338464014300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338464014337) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1416167305 + ... + 1416167543.

Almost surely, 2^338464014336 is an apocalyptic number.

338464014336 is a gapful number since it is divisible by the number (36) 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 338464014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572722598760).

338464014336 is an abundant number, since it is smaller than the sum of its proper divisors (806981183184).

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

338464014336 is an frugal number, since it uses more digits than its factorization.

338464014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 338464014336 in words is "three hundred thirty-eight billion, four hundred sixty-four million, fourteen thousand, three hundred thirty-six".