14820460200 has 576 divisors, whose sum is σ = 61729799040. Its totient is φ = 3102935040.

The previous prime is 14820460181. The next prime is 14820460211. The reversal of 14820460200 is 206402841.

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, 28337139 + ... + 28337661.

It is an arithmetic number, because the mean of its divisors is an integer number (107169790).

Almost surely, 2^14820460200 is an apocalyptic number.

14820460200 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 14820460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30864899520).

14820460200 is an abundant number, since it is smaller than the sum of its proper divisors (46909338840).

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

14820460200 is a wasteful number, since it uses less digits than its factorization.

14820460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14820460200 in words is "fourteen billion, eight hundred twenty million, four hundred sixty thousand, two hundred".