38401123604064 has 144 divisors (see below), whose sum is σ = 110468595811392. Its totient is φ = 11673371733504.

The previous prime is 38401123604047. The next prime is 38401123604083. The reversal of 38401123604064 is 46040632110483.

It is a happy number.

38401123604064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12912042 + ... + 15605225.

It is an arithmetic number, because the mean of its divisors is an integer number (767143026468).

Almost surely, 2^{38401123604064} is an apocalyptic number.

It is an amenable number.

38401123604064 is an abundant number, since it is smaller than the sum of its proper divisors (72067472207328).

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

38401123604064 is a wasteful number, since it uses less digits than its factorization.

38401123604064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28517389 (or 28517368 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 38401123604064 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-three million, six hundred four thousand, sixty-four".