38054462124096 has 1008 divisors, whose sum is σ = 129029640929280. Its totient is φ = 10682693683200.

The previous prime is 38054462124083. The next prime is 38054462124101. The reversal of 38054462124096 is 69042126445083.

38054462124096 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 4 + 4 + 621 + 2 + 4 + 0 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 11940526215 + ... + 11940529401.

It is an arithmetic number, because the mean of its divisors is an integer number (128005596160).

Almost surely, 2^{38054462124096} is an apocalyptic number.

38054462124096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38054462124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64514820464640).

38054462124096 is an abundant number, since it is smaller than the sum of its proper divisors (90975178805184).

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

38054462124096 is a wasteful number, since it uses less digits than its factorization.

38054462124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 38054462124096 in words is "thirty-eight trillion, fifty-four billion, four hundred sixty-two million, one hundred twenty-four thousand, ninety-six".