14581357882380 has 480 divisors, whose sum is σ = 49156904522880. Its totient is φ = 3611091456000.

The previous prime is 14581357882327. The next prime is 14581357882411. The reversal of 14581357882380 is 8328875318541.

14581357882380 is a `hidden beast` number, since 1 + 4 + 5 + 81 + 35 + 78 + 82 + 380 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136705470 + ... + 136812090.

It is an arithmetic number, because the mean of its divisors is an integer number (102410217756).

Almost surely, 2^{14581357882380} is an apocalyptic number.

14581357882380 is a gapful number since it is divisible by the number (10) 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 14581357882380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24578452261440).

14581357882380 is an abundant number, since it is smaller than the sum of its proper divisors (34575546640500).

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

14581357882380 is a wasteful number, since it uses less digits than its factorization.

14581357882380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106783 (or 106772 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 14581357882380 in words is "fourteen trillion, five hundred eighty-one billion, three hundred fifty-seven million, eight hundred eighty-two thousand, three hundred eighty".