38616294068401 has 9 divisors (see below), whose sum is σ = 44921045742201. Its totient is φ = 33099643344852.

The previous prime is 38616294068369. The next prime is 38616294068431. The reversal of 38616294068401 is 10486049261683.

The square root of 38616294068401 is 6214201.

It is a perfect power (a square), and thus also a powerful number.

38616294068401 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 38616294068401 - 2⁵ = 38616294068369 is a prime.

It is a super-3 number, since 3×38616294068401³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38616294068431) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 43055536 + ... + 43943278.

It is an arithmetic number, because the mean of its divisors is an integer number (4991227304689).

Almost surely, 2^{38616294068401} is an apocalyptic number.

38616294068401 is the 6214201-st square number.

38616294068401 is the 3107101-st centered octagonal number.

It is an amenable number.

38616294068401 is a deficient number, since it is larger than the sum of its proper divisors (6304751673800).

38616294068401 is an frugal number, since it uses more digits than its factorization.

38616294068401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775500 (or 887750 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 58.

The spelling of 38616294068401 in words is "thirty-eight trillion, six hundred sixteen billion, two hundred ninety-four million, sixty-eight thousand, four hundred one".