19383450296896 has 189 divisors, whose sum is σ = 46357071592377. Its totient is φ = 8017779463680.

The previous prime is 19383450296893. The next prime is 19383450296911. The reversal of 19383450296896 is 69869205438391.

The square root of 19383450296896 is 4402664.

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

It can be written as a sum of positive squares in only one way, i.e., 10164211154496 + 9219239142400 = 3188136^2 + 3036320^2 .

It is not an unprimeable number, because it can be changed into a prime (19383450296893) 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, 7149924981 + ... + 7149927691.

Almost surely, 2^{19383450296896} is an apocalyptic number.

19383450296896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19383450296896 is the 4402664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19383450296896

19383450296896 is an abundant number, since it is smaller than the sum of its proper divisors (26973621295481).

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

19383450296896 is an frugal number, since it uses more digits than its factorization.

19383450296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5506 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 73.

The spelling of 19383450296896 in words is "nineteen trillion, three hundred eighty-three billion, four hundred fifty million, two hundred ninety-six thousand, eight hundred ninety-six".