141314554368 has 480 divisors, whose sum is σ = 466811497152. Its totient is φ = 42400972800.

The previous prime is 141314554363. The next prime is 141314554387. The reversal of 141314554368 is 863455413141.

It is a happy number.

141314554368 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 45 + 543 + 68 = 666.

It is a super-3 number, since 3×141314554368³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (141314554361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66312663 + ... + 66314793.

Almost surely, 2^141314554368 is an apocalyptic number.

141314554368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141314554368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233405748576).

141314554368 is an abundant number, since it is smaller than the sum of its proper divisors (325496942784).

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

141314554368 is an equidigital number, since it uses as much as digits as its factorization.

141314554368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2190 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 141314554368 in words is "one hundred forty-one billion, three hundred fourteen million, five hundred fifty-four thousand, three hundred sixty-eight".