38362606971136 has 144 divisors (see below), whose sum is σ = 88423343850240. Its totient is φ = 16271273041920.

The previous prime is 38362606971133. The next prime is 38362606971179. The reversal of 38362606971136 is 63117960626383.

38362606971136 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-2 number, since 2×38362606971136² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38362606971133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68251566 + ... + 68811346.

It is an arithmetic number, because the mean of its divisors is an integer number (614050998960).

Almost surely, 2^{38362606971136} 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 38362606971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44211671925120).

38362606971136 is an abundant number, since it is smaller than the sum of its proper divisors (50060736879104).

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

38362606971136 is a wasteful number, since it uses less digits than its factorization.

38362606971136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560200 (or 560186 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 61.

The spelling of 38362606971136 in words is "thirty-eight trillion, three hundred sixty-two billion, six hundred six million, nine hundred seventy-one thousand, one hundred thirty-six".