14745628800 has 1152 divisors, whose sum is σ = 65028427200. Its totient is φ = 3292047360.

The previous prime is 14745628787. The next prime is 14745628817. The reversal of 14745628800 is 882654741.

14745628800 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 562 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342921579 + ... + 342921621.

Almost surely, 2^14745628800 is an apocalyptic number.

14745628800 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 14745628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514213600).

14745628800 is an abundant number, since it is smaller than the sum of its proper divisors (50282798400).

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

14745628800 is an frugal number, since it uses more digits than its factorization.

14745628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

It can be divided in two parts, 14745 and 628800, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 14745628800 in words is "fourteen billion, seven hundred forty-five million, six hundred twenty-eight thousand, eight hundred".