14812795800 has 432 divisors, whose sum is σ = 57076503120. Its totient is φ = 3433689600.

The previous prime is 14812795763. The next prime is 14812795807. The reversal of 14812795800 is 859721841.

14812795800 is a `hidden beast` number, since 1 + 48 + 1 + 27 + 9 + 580 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14812795807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5007922 + ... + 5010878.

It is an arithmetic number, because the mean of its divisors is an integer number (132121535).

Almost surely, 2^14812795800 is an apocalyptic number.

14812795800 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 14812795800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28538251560).

14812795800 is an abundant number, since it is smaller than the sum of its proper divisors (42263707320).

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

14812795800 is a wasteful number, since it uses less digits than its factorization.

14812795800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 14812795800 in words is "fourteen billion, eight hundred twelve million, seven hundred ninety-five thousand, eight hundred".