38412529056 has 144 divisors (see below), whose sum is σ = 120845245248. Its totient is φ = 11476147200.

The previous prime is 38412529049. The next prime is 38412529063. The reversal of 38412529056 is 65092521483.

38412529056 is a `hidden beast` number, since 38 + 41 + 2 + 529 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (38412529049) and next prime (38412529063).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38412529056² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139540 + ... + 310316.

It is an arithmetic number, because the mean of its divisors is an integer number (839203092).

Almost surely, 2^38412529056 is an apocalyptic number.

38412529056 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 38412529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60422622624).

38412529056 is an abundant number, since it is smaller than the sum of its proper divisors (82432716192).

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

38412529056 is a wasteful number, since it uses less digits than its factorization.

38412529056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170875 (or 170864 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 38412529056 in words is "thirty-eight billion, four hundred twelve million, five hundred twenty-nine thousand, fifty-six".