20814146800 has 60 divisors (see below), whose sum is σ = 51730360920. Its totient is φ = 8038562560.

The previous prime is 20814146779. The next prime is 20814146813. The reversal of 20814146800 is 864141802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 885562 + ... + 908761.

It is an arithmetic number, because the mean of its divisors is an integer number (862172682).

Almost surely, 2^20814146800 is an apocalyptic number.

20814146800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20814146800 is an abundant number, since it is smaller than the sum of its proper divisors (30916214120).

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

20814146800 is a wasteful number, since it uses less digits than its factorization.

20814146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794370 (or 1794359 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 20814146800 in words is "twenty billion, eight hundred fourteen million, one hundred forty-six thousand, eight hundred".