38626689024001 has 16 divisors (see below), whose sum is σ = 41797158580800. Its totient is φ = 35484691072320.

The previous prime is 38626689023939. The next prime is 38626689024013. The reversal of 38626689024001 is 10042098662683.

It is a cyclic number.

It is not a de Polignac number, because 38626689024001 - 2¹⁷ = 38626688892929 is a prime.

It is a super-2 number, since 2×38626689024001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38626689024031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57678786 + ... + 58344628.

It is an arithmetic number, because the mean of its divisors is an integer number (2612322411300).

Almost surely, 2^{38626689024001} is an apocalyptic number.

It is an amenable number.

38626689024001 is a deficient number, since it is larger than the sum of its proper divisors (3170469556799).

38626689024001 is a wasteful number, since it uses less digits than its factorization.

38626689024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687216.

The product of its (nonzero) digits is 5971968, while the sum is 55.

The spelling of 38626689024001 in words is "thirty-eight trillion, six hundred twenty-six billion, six hundred eighty-nine million, twenty-four thousand, one".