14536449607680 has 6912 divisors, whose sum is σ = 77571922821120. Its totient is φ = 2429131161600.

The previous prime is 14536449607621. The next prime is 14536449607727. The reversal of 14536449607680 is 8670694463541.

14536449607680 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 64 + 496 + 0 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×14536449607680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 468917729265 + ... + 468917729295.

It is an arithmetic number, because the mean of its divisors is an integer number (11222789760).

Almost surely, 2^{14536449607680} is an apocalyptic number.

14536449607680 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 14536449607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38785961410560).

14536449607680 is an abundant number, since it is smaller than the sum of its proper divisors (63035473213440).

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

14536449607680 is a wasteful number, since it uses less digits than its factorization.

14536449607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 14536449607680 in words is "fourteen trillion, five hundred thirty-six billion, four hundred forty-nine million, six hundred seven thousand, six hundred eighty".