14665406853120 has 416 divisors, whose sum is σ = 49732002749952. Its totient is φ = 3677157851136.

The previous prime is 14665406853089. The next prime is 14665406853131. The reversal of 14665406853120 is 2135860456641.

It is a super-2 number, since 2×14665406853120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 1172944789 + ... + 1172957291.

Almost surely, 2^{14665406853120} is an apocalyptic number.

14665406853120 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 14665406853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24866001374976).

14665406853120 is an abundant number, since it is smaller than the sum of its proper divisors (35066595896832).

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

14665406853120 is a wasteful number, since it uses less digits than its factorization.

14665406853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13653 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 14665406853120 in words is "fourteen trillion, six hundred sixty-five billion, four hundred six million, eight hundred fifty-three thousand, one hundred twenty".