141268896384 has 256 divisors, whose sum is σ = 468429696000. Its totient is φ = 36646871040.

The previous prime is 141268896371. The next prime is 141268896403. The reversal of 141268896384 is 483698862141.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27702667 + ... + 27707765.

It is an arithmetic number, because the mean of its divisors is an integer number (1829803500).

Almost surely, 2^141268896384 is an apocalyptic number.

141268896384 is a gapful number since it is divisible by the number (14) 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 141268896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234214848000).

141268896384 is an abundant number, since it is smaller than the sum of its proper divisors (327160799616).

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

141268896384 is a wasteful number, since it uses less digits than its factorization.

141268896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6059 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The spelling of 141268896384 in words is "one hundred forty-one billion, two hundred sixty-eight million, eight hundred ninety-six thousand, three hundred eighty-four".