20198408901696 has 189 divisors, whose sum is σ = 58193732042199. Its totient is φ = 6698251065600.

The previous prime is 20198408901667. The next prime is 20198408901707. The reversal of 20198408901696 is 69610980489102.

The square root of 20198408901696 is 4494264.

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

20198408901696 is a `hidden beast` number, since 20 + 198 + 408 + 9 + 0 + 16 + 9 + 6 = 666.

It is a super-2 number, since 2×20198408901696² (a number of 27 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 29230692711 + ... + 29230693401.

Almost surely, 2^{20198408901696} is an apocalyptic number.

20198408901696 is the 4494264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20198408901696

20198408901696 is an abundant number, since it is smaller than the sum of its proper divisors (37995323140503).

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

20198408901696 is an frugal number, since it uses more digits than its factorization.

20198408901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 20198408901696 in words is "twenty trillion, one hundred ninety-eight billion, four hundred eight million, nine hundred one thousand, six hundred ninety-six".