14738368320 has 504 divisors, whose sum is σ = 55602140256. Its totient is φ = 3581300736.

The previous prime is 14738368303. The next prime is 14738368373. The reversal of 14738368320 is 2386383741.

14738368320 is a `hidden beast` number, since 1 + 473 + 83 + 6 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52078899 + ... + 52079181.

Almost surely, 2^14738368320 is an apocalyptic number.

14738368320 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 14738368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27801070128).

14738368320 is an abundant number, since it is smaller than the sum of its proper divisors (40863771936).

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

14738368320 is a wasteful number, since it uses less digits than its factorization.

14738368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 14738368320 in words is "fourteen billion, seven hundred thirty-eight million, three hundred sixty-eight thousand, three hundred twenty".