455523551667114 has 256 divisors, whose sum is σ = 1147895273226240. Its totient is φ = 117516664581120.

The previous prime is 455523551667113. The next prime is 455523551667127. The reversal of 455523551667114 is 411766155325554.

It is a super-3 number, since 3×455523551667114³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (455523551667113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1179482727 + ... + 1179868869.

It is an arithmetic number, because the mean of its divisors is an integer number (4483965911040).

Almost surely, 2^{455523551667114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455523551667114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573947636613120).

455523551667114 is an abundant number, since it is smaller than the sum of its proper divisors (692371721559126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

455523551667114 is a wasteful number, since it uses less digits than its factorization.

455523551667114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386665.

The product of its digits is 75600000, while the sum is 60.

The spelling of 455523551667114 in words is "four hundred fifty-five trillion, five hundred twenty-three billion, five hundred fifty-one million, six hundred sixty-seven thousand, one hundred fourteen".