16918549456900 has 432 divisors, whose sum is σ = 46949101731840. Its totient is φ = 5176231257600.

The previous prime is 16918549456891. The next prime is 16918549456901. The reversal of 16918549456900 is 965494581961.

It is a super-2 number, since 2×16918549456900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16918549456901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4690474897 + ... + 4690478503.

Almost surely, 2^{16918549456900} is an apocalyptic number.

16918549456900 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 16918549456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23474550865920).

16918549456900 is an abundant number, since it is smaller than the sum of its proper divisors (30030552274940).

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

16918549456900 is a wasteful number, since it uses less digits than its factorization.

16918549456900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 67.

The spelling of 16918549456900 in words is "sixteen trillion, nine hundred eighteen billion, five hundred forty-nine million, four hundred fifty-six thousand, nine hundred".