42678377371161 has 81 divisors (see below), whose sum is σ = 72377806872189. Its totient is φ = 24163044175872.

The previous prime is 42678377371153. The next prime is 42678377371181. The reversal of 42678377371161 is 16117377387624.

The square root of 42678377371161 is 6532869.

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

42678377371161 is a `hidden beast` number, since 4 + 2 + 6 + 78 + 37 + 7 + 371 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 767255116761 + 41911122254400 = 875931^2 + 6473880^2 .

It is not a de Polignac number, because 42678377371161 - 2³ = 42678377371153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42678377371151) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15502496761 + ... + 15502499513.

Almost surely, 2^{42678377371161} is an apocalyptic number.

42678377371161 is the 6532869-th square number.

42678377371161 is the 3266435-th centered octagonal number.

It is an amenable number.

42678377371161 is a deficient number, since it is larger than the sum of its proper divisors (29699429501028).

42678377371161 is an frugal number, since it uses more digits than its factorization.

42678377371161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 2876 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 42678377371161 in words is "forty-two trillion, six hundred seventy-eight billion, three hundred seventy-seven million, three hundred seventy-one thousand, one hundred sixty-one".