21498189384996 has 243 divisors, whose sum is σ = 58339462627537. Its totient is φ = 6673756727040.

The previous prime is 21498189384977. The next prime is 21498189385007. The reversal of 21498189384996 is 69948398189412.

The square root of 21498189384996 is 4636614.

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

21498189384996 is a `hidden beast` number, since 2 + 1 + 4 + 98 + 1 + 8 + 9 + 38 + 499 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16737344676900 + 4760844708096 = 4091130^2 + 2181936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 61954436095 + ... + 61954436441.

Almost surely, 2^{21498189384996} is an apocalyptic number.

21498189384996 is the 4636614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21498189384996

21498189384996 is an abundant number, since it is smaller than the sum of its proper divisors (36841273242541).

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

21498189384996 is a wasteful number, since it uses less digits than its factorization.

21498189384996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 500 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 81.

The spelling of 21498189384996 in words is "twenty-one trillion, four hundred ninety-eight billion, one hundred eighty-nine million, three hundred eighty-four thousand, nine hundred ninety-six".