19634682658816 has 153 divisors (see below), whose sum is σ = 41490180726483. Its totient is φ = 9290429890560.

The previous prime is 19634682658769. The next prime is 19634682658849. The reversal of 19634682658816 is 61885628643691.

The square root of 19634682658816 is 4431104.

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

It is a super-2 number, since 2×19634682658816² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21552889401 + ... + 21552890311.

Almost surely, 2^{19634682658816} is an apocalyptic number.

19634682658816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19634682658816 is the 4431104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19634682658816

19634682658816 is an abundant number, since it is smaller than the sum of its proper divisors (21855498067667).

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

19634682658816 is an frugal number, since it uses more digits than its factorization.

19634682658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 932 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 73.

The spelling of 19634682658816 in words is "nineteen trillion, six hundred thirty-four billion, six hundred eighty-two million, six hundred fifty-eight thousand, eight hundred sixteen".