114646181646411 has 48 divisors (see below), whose sum is σ = 174695359718880. Its totient is φ = 74307723494400.

The previous prime is 114646181646361. The next prime is 114646181646443.

114646181646411 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 4 + 6 + 181 + 6 + 46 + 411 = 666.

114646181646411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 114646181646411 - 2²⁹ = 114645644775499 is a prime.

It is a super-2 number, since 2×114646181646411² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114646181646011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46745311 + ... + 49136711.

It is an arithmetic number, because the mean of its divisors is an integer number (3639486660810).

Almost surely, 2^{114646181646411} is an apocalyptic number.

114646181646411 is a deficient number, since it is larger than the sum of its proper divisors (60049178072469).

114646181646411 is a wasteful number, since it uses less digits than its factorization.

114646181646411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392781 (or 2392738 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 114646181646411 in words is "one hundred fourteen trillion, six hundred forty-six billion, one hundred eighty-one million, six hundred forty-six thousand, four hundred eleven".