38348716096512 has 528 divisors, whose sum is σ = 116349150677760. Its totient is φ = 12149725593600.

The previous prime is 38348716096433. The next prime is 38348716096531. The reversal of 38348716096512 is 21569061784383.

38348716096512 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 8 + 7 + 1 + 609 + 6 + 5 + 12 = 666.

It is a super-2 number, since 2×38348716096512² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38348716096512.

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 47 ways as a sum of consecutive naturals, for example, 16608364414 + ... + 16608366722.

It is an arithmetic number, because the mean of its divisors is an integer number (220358239920).

It is a 1-persistent number, because it is pandigital, but 2⋅38348716096512 = 76697432193024 is not.

Almost surely, 2^{38348716096512} is an apocalyptic number.

38348716096512 is a gapful number since it is divisible by the number (32) 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 38348716096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58174575338880).

38348716096512 is an abundant number, since it is smaller than the sum of its proper divisors (78000434581248).

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

38348716096512 is a wasteful number, since it uses less digits than its factorization.

38348716096512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 38348716096512 in words is "thirty-eight trillion, three hundred forty-eight billion, seven hundred sixteen million, ninety-six thousand, five hundred twelve".