19378343543056 has 135 divisors (see below), whose sum is σ = 39312682394349. Its totient is φ = 9253251001344.

The previous prime is 19378343543051. The next prime is 19378343543107. The reversal of 19378343543056 is 65034534387391.

The square root of 19378343543056 is 4402084.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14249749213456 + 5128594329600 = 3774884^2 + 2264640^2 .

It is a super-3 number, since 3×19378343543056³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19378343542985 and 19378343543003.

It is not an unprimeable number, because it can be changed into a prime (19378343543051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69957918790 + ... + 69957919066.

Almost surely, 2^{19378343543056} is an apocalyptic number.

19378343543056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19378343543056 is the 4402084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19378343543056

19378343543056 is an abundant number, since it is smaller than the sum of its proper divisors (19934338851293).

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

19378343543056 is an frugal number, since it uses more digits than its factorization.

19378343543056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 61.

The spelling of 19378343543056 in words is "nineteen trillion, three hundred seventy-eight billion, three hundred forty-three million, five hundred forty-three thousand, fifty-six".