38945136155184 has 200 divisors, whose sum is σ = 128931213771008. Its totient is φ = 11117676435840.

The previous prime is 38945136155153. The next prime is 38945136155209. The reversal of 38945136155184 is 48155163154983.

38945136155184 is a `hidden beast` number, since 3 + 8 + 9 + 4 + 5 + 1 + 3 + 615 + 5 + 1 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8790309 + ... + 12456315.

Almost surely, 2^{38945136155184} 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 38945136155184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465606885504).

38945136155184 is an abundant number, since it is smaller than the sum of its proper divisors (89986077615824).

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

38945136155184 is a wasteful number, since it uses less digits than its factorization.

38945136155184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667205 (or 3667190 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 38945136155184 in words is "thirty-eight trillion, nine hundred forty-five billion, one hundred thirty-six million, one hundred fifty-five thousand, one hundred eighty-four".