16418055686400 has 243 divisors, whose sum is σ = 58701731515609. Its totient is φ = 4377888860160.

The previous prime is 16418055686381. The next prime is 16418055686447. The reversal of 16418055686400 is 468655081461.

It is a happy number.

The square root of 16418055686400 is 4051920.

It is a perfect power (a square), and thus also a powerful number.

16418055686400 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 8 + 0 + 556 + 86 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5910500047104 + 10507555639296 = 2431152^2 + 3241536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 972452359 + ... + 972469241.

Almost surely, 2^{16418055686400} is an apocalyptic number.

16418055686400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16418055686400 is the 4051920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16418055686400

16418055686400 is an abundant number, since it is smaller than the sum of its proper divisors (42283675829209).

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

16418055686400 is an frugal number, since it uses more digits than its factorization.

16418055686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33798 (or 16893 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 16418055686400 in words is "sixteen trillion, four hundred eighteen billion, fifty-five million, six hundred eighty-six thousand, four hundred".