38573649059008 has 112 divisors (see below), whose sum is σ = 90360477534208. Its totient is φ = 15987829248000.

The previous prime is 38573649058993. The next prime is 38573649059047. The reversal of 38573649059008 is 80095094637583.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 20355448 + ... + 22169608.

It is an arithmetic number, because the mean of its divisors is an integer number (806789977984).

Almost surely, 2^{38573649059008} 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 38573649059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45180238767104).

38573649059008 is an abundant number, since it is smaller than the sum of its proper divisors (51786828475200).

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

38573649059008 is a wasteful number, since it uses less digits than its factorization.

38573649059008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815742 (or 1815732 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 67.

The spelling of 38573649059008 in words is "thirty-eight trillion, five hundred seventy-three billion, six hundred forty-nine million, fifty-nine thousand, eight".