19342835006401 has 3 divisors (see below), whose sum is σ = 19342839404451. Its totient is φ = 19342830608352.

The previous prime is 19342835006321. The next prime is 19342835006461. The reversal of 19342835006401 is 10460053824391.

It is a happy number.

The square root of 19342835006401 is 4398049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 16721155900801 + 2621679105600 = 4089151^2 + 1619160^2 .

It is not a de Polignac number, because 19342835006401 - 2¹³ = 19342834998209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19342835006461) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2199025 + ... + 6597073.

It is an arithmetic number, because the mean of its divisors is an integer number (6447613134817).

Almost surely, 2^{19342835006401} is an apocalyptic number.

19342835006401 is the 4398049-th square number.

19342835006401 is the 2199025-th centered octagonal number.

It is an amenable number.

19342835006401 is a deficient number, since it is larger than the sum of its proper divisors (4398050).

19342835006401 is an frugal number, since it uses more digits than its factorization.

19342835006401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796098 (or 4398049 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 19342835006401 in words is "nineteen trillion, three hundred forty-two billion, eight hundred thirty-five million, six thousand, four hundred one".