14733380356480 has 256 divisors, whose sum is σ = 36724982169600. Its totient is φ = 5645832192000.

The previous prime is 14733380356433. The next prime is 14733380356507. The reversal of 14733380356480 is 8465308333741.

It is a congruent number.

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, 2060320905 + ... + 2060328055.

It is an arithmetic number, because the mean of its divisors is an integer number (143456961600).

Almost surely, 2^{14733380356480} is an apocalyptic number.

14733380356480 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 14733380356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362491084800).

14733380356480 is an abundant number, since it is smaller than the sum of its proper divisors (21991601813120).

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

14733380356480 is a wasteful number, since it uses less digits than its factorization.

14733380356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 55.

The spelling of 14733380356480 in words is "fourteen trillion, seven hundred thirty-three billion, three hundred eighty million, three hundred fifty-six thousand, four hundred eighty".