8014814214200 has 48 divisors (see below), whose sum is σ = 18703204956960. Its totient is φ = 3194095680000.

The previous prime is 8014814214181. The next prime is 8014814214229. The reversal of 8014814214200 is 24124184108.

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 11 ways as a sum of consecutive naturals, for example, 73883201 + ... + 73991600.

It is an arithmetic number, because the mean of its divisors is an integer number (389650103270).

Almost surely, 2^{8014814214200} is an apocalyptic number.

It is an amenable number.

8014814214200 is an abundant number, since it is smaller than the sum of its proper divisors (10688390742760).

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

8014814214200 is a wasteful number, since it uses less digits than its factorization.

8014814214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147875088 (or 147875079 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

Adding to 8014814214200 its reverse (24124184108), we get a palindrome (8038938398308).

The spelling of 8014814214200 in words is "eight trillion, fourteen billion, eight hundred fourteen million, two hundred fourteen thousand, two hundred".