114511320042097 has 64 divisors (see below), whose sum is σ = 135104085043200. Its totient is φ = 95930827200000.

The previous prime is 114511320042089. The next prime is 114511320042127. The reversal of 114511320042097 is 790240023115411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114511320042097 - 2³ = 114511320042089 is a prime.

It is a super-2 number, since 2×114511320042097² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114511320042997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10836686308 + ... + 10836696874.

It is an arithmetic number, because the mean of its divisors is an integer number (2111001328800).

Almost surely, 2^{114511320042097} is an apocalyptic number.

It is an amenable number.

114511320042097 is a deficient number, since it is larger than the sum of its proper divisors (20592765001103).

114511320042097 is a wasteful number, since it uses less digits than its factorization.

114511320042097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278.

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 114511320042097 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred twenty million, forty-two thousand, ninety-seven".