110007142888041 has 135 divisors (see below), whose sum is σ = 192264189097959. Its totient is φ = 62500632318432.

The previous prime is 110007142888039. The next prime is 110007142888051. The reversal of 110007142888041 is 140888241700011.

The square root of 110007142888041 is 10488429.

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

110007142888041 is a `hidden beast` number, since 1 + 100 + 0 + 7 + 1 + 428 + 8 + 80 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102455309124441 + 7551833763600 = 10122021^2 + 2748060^2 .

It is not a de Polignac number, because 110007142888041 - 2¹ = 110007142888039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110007142888021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 151316564820 + ... + 151316565546.

Almost surely, 2^{110007142888041} is an apocalyptic number.

110007142888041 is the 10488429-th square number.

110007142888041 is the 5244215-th centered octagonal number.

It is an amenable number.

110007142888041 is a deficient number, since it is larger than the sum of its proper divisors (82257046209918).

110007142888041 is an frugal number, since it uses more digits than its factorization.

110007142888041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 110007142888041 in words is "one hundred ten trillion, seven billion, one hundred forty-two million, eight hundred eighty-eight thousand, forty-one".