38811621333144 has 128 divisors (see below), whose sum is σ = 106664884358400. Its totient is φ = 11670738992640.

The previous prime is 38811621333143. The next prime is 38811621333157. The reversal of 38811621333144 is 44133312611883.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38811621333093 and 38811621333102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38811621333143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30757647 + ... + 31994625.

It is an arithmetic number, because the mean of its divisors is an integer number (833319409050).

Almost surely, 2^{38811621333144} 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 38811621333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53332442179200).

38811621333144 is an abundant number, since it is smaller than the sum of its proper divisors (67853263025256).

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

38811621333144 is a wasteful number, since it uses less digits than its factorization.

38811621333144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237913 (or 1237909 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 38811621333144 in words is "thirty-eight trillion, eight hundred eleven billion, six hundred twenty-one million, three hundred thirty-three thousand, one hundred forty-four".