20416164114200 has 48 divisors (see below), whose sum is σ = 47467884480000. Its totient is φ = 8166413531520.

The previous prime is 20416164114133. The next prime is 20416164114209. The reversal of 20416164114200 is 241146161402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20416164114209) by changing a digit.

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, 52285286 + ... + 52674314.

It is an arithmetic number, because the mean of its divisors is an integer number (988914260000).

Almost surely, 2^{20416164114200} is an apocalyptic number.

20416164114200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20416164114200 is an abundant number, since it is smaller than the sum of its proper divisors (27051720365800).

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

20416164114200 is a wasteful number, since it uses less digits than its factorization.

20416164114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651444 (or 651435 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 20416164114200 in words is "twenty trillion, four hundred sixteen billion, one hundred sixty-four million, one hundred fourteen thousand, two hundred".