38110457961 has 45 divisors (see below), whose sum is σ = 57747708711. Its totient is φ = 25047378576.

The previous prime is 38110457933. The next prime is 38110458007. The reversal of 38110457961 is 16975401183.

The square root of 38110457961 is 195219.

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

38110457961 is a `hidden beast` number, since 3 + 8 + 1 + 10 + 4 + 579 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26562806361 + 11547651600 = 162981^2 + 107460^2 .

It is not a de Polignac number, because 38110457961 - 2⁹ = 38110457449 is a prime.

It is a super-4 number, since 4×38110457961⁴ (a number of 43 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38110457911) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 191509740 + ... + 191509938.

Almost surely, 2^38110457961 is an apocalyptic number.

38110457961 is the 195219-th square number.

38110457961 is the 97610-th centered octagonal number.

It is an amenable number.

38110457961 is a deficient number, since it is larger than the sum of its proper divisors (19637250750).

38110457961 is an frugal number, since it uses more digits than its factorization.

38110457961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 38110457961 in words is "thirty-eight billion, one hundred ten million, four hundred fifty-seven thousand, nine hundred sixty-one".