114292001041 has 9 divisors (see below), whose sum is σ = 116791721851. Its totient is φ = 111844705072.

The previous prime is 114292001039. The next prime is 114292001093. The reversal of 114292001041 is 140100292411.

The square root of 114292001041 is 338071.

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

It can be written as a sum of positive squares in only one way, i.e., 7038371025 + 107253630016 = 83895^2 + 327496^2 .

It is not a de Polignac number, because 114292001041 - 2¹ = 114292001039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114292000997 and 114292001015.

It is not an unprimeable number, because it can be changed into a prime (114292091041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15885741 + ... + 15892933.

Almost surely, 2^114292001041 is an apocalyptic number.

114292001041 is the 338071-st square number.

114292001041 is the 169036-th centered octagonal number.

It is an amenable number.

114292001041 is a deficient number, since it is larger than the sum of its proper divisors (2499720810).

114292001041 is an frugal number, since it uses more digits than its factorization.

114292001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Multiplying 114292001041 by its sum of digits (25), we get a square (2857300026025 = 1690355²).

Multiplying 114292001041 by its product of nonzero digits (576), we get a square (65832192599616 = 8113704²).

Adding to 114292001041 its reverse (140100292411), we get a palindrome (254392293452).

The spelling of 114292001041 in words is "one hundred fourteen billion, two hundred ninety-two million, one thousand, forty-one".