21498190184016 has 960 divisors, whose sum is σ = 78341652480000. Its totient is φ = 5462786810880.

The previous prime is 21498190183961. The next prime is 21498190184017. The reversal of 21498190184016 is 61048109189412.

21498190184016 is a `hidden beast` number, since 2 + 1 + 49 + 8 + 190 + 1 + 8 + 401 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21498190184017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4757287005 + ... + 4757291523.

It is an arithmetic number, because the mean of its divisors is an integer number (81605888000).

Almost surely, 2^{21498190184016} is an apocalyptic number.

21498190184016 is a gapful number since it is divisible by the number (26) 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 21498190184016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39170826240000).

21498190184016 is an abundant number, since it is smaller than the sum of its proper divisors (56843462295984).

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

21498190184016 is a wasteful number, since it uses less digits than its factorization.

21498190184016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 21498190184016 in words is "twenty-one trillion, four hundred ninety-eight billion, one hundred ninety million, one hundred eighty-four thousand, sixteen".