14364960382080 has 1536 divisors, whose sum is σ = 62553254400000. Its totient is φ = 2950899793920.

The previous prime is 14364960382049. The next prime is 14364960382109. The reversal of 14364960382080 is 8028306946341.

14364960382080 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 4 + 9 + 603 + 8 + 20 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23981569621 + ... + 23981570219.

It is an arithmetic number, because the mean of its divisors is an integer number (40724775000).

Almost surely, 2^{14364960382080} is an apocalyptic number.

14364960382080 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 14364960382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31276627200000).

14364960382080 is an abundant number, since it is smaller than the sum of its proper divisors (48188294017920).

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

14364960382080 is a wasteful number, since it uses less digits than its factorization.

14364960382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 14364960382080 in words is "fourteen trillion, three hundred sixty-four billion, nine hundred sixty million, three hundred eighty-two thousand, eighty".