19480712380416 has 459 divisors, whose sum is σ = 65545131490293. Its totient is φ = 5559138385920.

The previous prime is 19480712380411. The next prime is 19480712380433. The reversal of 19480712380416 is 61408321708491.

The square root of 19480712380416 is 4413696.

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

19480712380416 is a `hidden beast` number, since 1 + 9 + 4 + 80 + 71 + 2 + 3 + 80 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5319038140416 + 14161674240000 = 2306304^2 + 3763200^2 .

It is a super-3 number, since 3×19480712380416³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (19480712380411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23728029286 + ... + 23728030106.

Almost surely, 2^{19480712380416} is an apocalyptic number.

19480712380416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19480712380416 is the 4413696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19480712380416

19480712380416 is an abundant number, since it is smaller than the sum of its proper divisors (46064419109877).

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

19480712380416 is an frugal number, since it uses more digits than its factorization.

19480712380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 19480712380416 in words is "nineteen trillion, four hundred eighty billion, seven hundred twelve million, three hundred eighty thousand, four hundred sixteen".