16412802098112 has 336 divisors, whose sum is σ = 53897839107840. Its totient is φ = 4677795311616.

The previous prime is 16412802098111. The next prime is 16412802098117. The reversal of 16412802098112 is 21189020821461.

16412802098112 is a `hidden beast` number, since 16 + 41 + 280 + 209 + 8 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16412802098111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436501339 + ... + 5436504357.

It is an arithmetic number, because the mean of its divisors is an integer number (160410235440).

Almost surely, 2^{16412802098112} is an apocalyptic number.

16412802098112 is a gapful number since it is divisible by the number (12) 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 16412802098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26948919553920).

16412802098112 is an abundant number, since it is smaller than the sum of its proper divisors (37485037009728).

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

16412802098112 is a wasteful number, since it uses less digits than its factorization.

16412802098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 16412802098112 in words is "sixteen trillion, four hundred twelve billion, eight hundred two million, ninety-eight thousand, one hundred twelve".