38120071916961 has 16 divisors (see below), whose sum is σ = 56476449016000. Its totient is φ = 25412360498784.

The previous prime is 38120071916917. The next prime is 38120071916987. The reversal of 38120071916961 is 16961917002183.

38120071916961 is a `hidden beast` number, since 381 + 20 + 0 + 71 + 91 + 6 + 96 + 1 = 666.

It is not a de Polignac number, because 38120071916961 - 2⁷ = 38120071916833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38120071916898 and 38120071916907.

It is not an unprimeable number, because it can be changed into a prime (38120071916561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27670036 + ... + 29015013.

It is an arithmetic number, because the mean of its divisors is an integer number (3529778063500).

Almost surely, 2^{38120071916961} is an apocalyptic number.

It is an amenable number.

38120071916961 is a deficient number, since it is larger than the sum of its proper divisors (18356377099039).

38120071916961 is a wasteful number, since it uses less digits than its factorization.

38120071916961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56709965 (or 56709959 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 38120071916961 in words is "thirty-eight trillion, one hundred twenty billion, seventy-one million, nine hundred sixteen thousand, nine hundred sixty-one".