38804118029145 has 1152 divisors, whose sum is σ = 91546172669952. Its totient is φ = 15648198451200.

The previous prime is 38804118029119. The next prime is 38804118029153. The reversal of 38804118029145 is 54192081140883.

38804118029145 is a `hidden beast` number, since 3 + 8 + 8 + 0 + 411 + 80 + 2 + 9 + 145 = 666.

38804118029145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38804118029145 - 2⁸ = 38804118028889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38804118029091 and 38804118029100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 124772083540 + ... + 124772083850.

It is an arithmetic number, because the mean of its divisors is an integer number (79467163776).

Almost surely, 2^{38804118029145} is an apocalyptic number.

38804118029145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38804118029145 is an abundant number, since it is smaller than the sum of its proper divisors (52742054640807).

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

38804118029145 is a wasteful number, since it uses less digits than its factorization.

38804118029145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 38804118029145 in words is "thirty-eight trillion, eight hundred four billion, one hundred eighteen million, twenty-nine thousand, one hundred forty-five".