38824231546464 has 768 divisors, whose sum is σ = 131523876126720. Its totient is φ = 9756641157120.

The previous prime is 38824231546391. The next prime is 38824231546501. The reversal of 38824231546464 is 46464513242883.

38824231546464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×38824231546464³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38824231546398 and 38824231546407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2850733447 + ... + 2850747065.

It is an arithmetic number, because the mean of its divisors is an integer number (171255047040).

Almost surely, 2^{38824231546464} 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 38824231546464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65761938063360).

38824231546464 is an abundant number, since it is smaller than the sum of its proper divisors (92699644580256).

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

38824231546464 is a wasteful number, since it uses less digits than its factorization.

38824231546464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13883 (or 13875 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 60.

The spelling of 38824231546464 in words is "thirty-eight trillion, eight hundred twenty-four billion, two hundred thirty-one million, five hundred forty-six thousand, four hundred sixty-four".