14738516352 has 480 divisors, whose sum is σ = 51903787320. Its totient is φ = 4138573824.

The previous prime is 14738516347. The next prime is 14738516371. The reversal of 14738516352 is 25361583741.

It is a happy number.

14738516352 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 8 + 5 + 1 + 635 + 2 = 666.

Its product of digits (604800) is a multiple of the sum of its prime factors (540).

It is a junction number, because it is equal to n+sod(n) for n = 14738516298 and 14738516307.

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 59 ways as a sum of consecutive naturals, for example, 34037928 + ... + 34038360.

Almost surely, 2^14738516352 is an apocalyptic number.

14738516352 is a gapful number since it is divisible by the number (12) 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 14738516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951893660).

14738516352 is an abundant number, since it is smaller than the sum of its proper divisors (37165270968).

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

14738516352 is an equidigital number, since it uses as much as digits as its factorization.

14738516352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 512 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 14738516352 in words is "fourteen billion, seven hundred thirty-eight million, five hundred sixteen thousand, three hundred fifty-two".