383313346416 has 600 divisors, whose sum is σ = 1500911456352. Its totient is φ = 91899878400.

The previous prime is 383313346393. The next prime is 383313346421. The reversal of 383313346416 is 614643313383.

383313346416 is a `hidden beast` number, since 38 + 33 + 133 + 46 + 416 = 666.

It is a super-3 number, since 3×383313346416³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14256826 + ... + 14283686.

Almost surely, 2^383313346416 is an apocalyptic number.

383313346416 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 383313346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750455728176).

383313346416 is an abundant number, since it is smaller than the sum of its proper divisors (1117598109936).

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

383313346416 is a wasteful number, since it uses less digits than its factorization.

383313346416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26923 (or 26897 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

Adding to 383313346416 its reverse (614643313383), we get a palindrome (997956659799).

The spelling of 383313346416 in words is "three hundred eighty-three billion, three hundred thirteen million, three hundred forty-six thousand, four hundred sixteen".