38401123604175 has 72 divisors (see below), whose sum is σ = 72891115071840. Its totient is φ = 19258782566400.

The previous prime is 38401123604167. The next prime is 38401123604237. The reversal of 38401123604175 is 57140632110483.

38401123604175 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 1 + 23 + 604 + 17 + 5 = 666.

It is not a de Polignac number, because 38401123604175 - 2³ = 38401123604167 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 38401123604175.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127771 + ... + 8764620.

It is an arithmetic number, because the mean of its divisors is an integer number (1012376598220).

Almost surely, 2^{38401123604175} is an apocalyptic number.

38401123604175 is a deficient number, since it is larger than the sum of its proper divisors (34489991467665).

38401123604175 is a wasteful number, since it uses less digits than its factorization.

38401123604175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893553 (or 8893545 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38401123604175 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-three million, six hundred four thousand, one hundred seventy-five".