38364842316512 has 192 divisors, whose sum is σ = 78597084585600. Its totient is φ = 18419332939776.

The previous prime is 38364842316497. The next prime is 38364842316523. The reversal of 38364842316512 is 21561324846383.

It is a super-2 number, since 2×38364842316512² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27423045989 + ... + 27423047387.

It is an arithmetic number, because the mean of its divisors is an integer number (409359815550).

Almost surely, 2^{38364842316512} is an apocalyptic number.

38364842316512 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 38364842316512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39298542292800).

38364842316512 is an abundant number, since it is smaller than the sum of its proper divisors (40232242269088).

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

38364842316512 is a wasteful number, since it uses less digits than its factorization.

38364842316512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2445 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 56.

The spelling of 38364842316512 in words is "thirty-eight trillion, three hundred sixty-four billion, eight hundred forty-two million, three hundred sixteen thousand, five hundred twelve".