14538193889280 has 768 divisors, whose sum is σ = 51152145408000. Its totient is φ = 3510289563648.

The previous prime is 14538193889251. The next prime is 14538193889311. The reversal of 14538193889280 is 8298839183541.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×14538193889280² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448166501 + ... + 1448176539.

It is an arithmetic number, because the mean of its divisors is an integer number (66604356000).

Almost surely, 2^{14538193889280} is an apocalyptic number.

14538193889280 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 14538193889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25576072704000).

14538193889280 is an abundant number, since it is smaller than the sum of its proper divisors (36613951518720).

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

14538193889280 is a wasteful number, since it uses less digits than its factorization.

14538193889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 69.

The spelling of 14538193889280 in words is "fourteen trillion, five hundred thirty-eight billion, one hundred ninety-three million, eight hundred eighty-nine thousand, two hundred eighty".