38171690929008 has 1120 divisors, whose sum is σ = 140380792832000. Its totient is φ = 9986261064192.

The previous prime is 38171690928991. The next prime is 38171690929039. The reversal of 38171690929008 is 80092909617183.

38171690929008 is a `hidden beast` number, since 381 + 7 + 169 + 0 + 9 + 2 + 90 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6605238663 + ... + 6605244441.

It is an arithmetic number, because the mean of its divisors is an integer number (125339993600).

Almost surely, 2^{38171690929008} 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 38171690929008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70190396416000).

38171690929008 is an abundant number, since it is smaller than the sum of its proper divisors (102209101902992).

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

38171690929008 is a wasteful number, since it uses less digits than its factorization.

38171690929008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 38171690929008 in words is "thirty-eight trillion, one hundred seventy-one billion, six hundred ninety million, nine hundred twenty-nine thousand, eight".