38181919186944 has 448 divisors, whose sum is σ = 121948105608000. Its totient is φ = 11736568037376.

The previous prime is 38181919186921. The next prime is 38181919186951. The reversal of 38181919186944 is 44968191918183.

38181919186944 is a `hidden beast` number, since 381 + 8 + 19 + 19 + 186 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3142797382 + ... + 3142809530.

It is an arithmetic number, because the mean of its divisors is an integer number (272205592875).

Almost surely, 2^{38181919186944} 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 38181919186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60974052804000).

38181919186944 is an abundant number, since it is smaller than the sum of its proper divisors (83766186421056).

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

38181919186944 is a wasteful number, since it uses less digits than its factorization.

38181919186944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13290 (or 13260 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 72.

The spelling of 38181919186944 in words is "thirty-eight trillion, one hundred eighty-one billion, nine hundred nineteen million, one hundred eighty-six thousand, nine hundred forty-four".