19847461592401 has 9 divisors (see below), whose sum is σ = 19875179431849. Its totient is φ = 19819782372964.

The previous prime is 19847461592377. The next prime is 19847461592423. The reversal of 19847461592401 is 10429516474891.

It is a happy number.

The square root of 19847461592401 is 4455049.

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

It is a de Polignac number, because none of the positive numbers 2^k-19847461592401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19847461592401.

It is not an unprimeable number, because it can be changed into a prime (19847461592201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3684322830 + ... + 3684328216.

Almost surely, 2^{19847461592401} is an apocalyptic number.

19847461592401 is the 4455049-th square number.

19847461592401 is the 2227525-th centered octagonal number.

It is an amenable number.

19847461592401 is a deficient number, since it is larger than the sum of its proper divisors (27717839448).

19847461592401 is an frugal number, since it uses more digits than its factorization.

19847461592401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12428 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 19847461592401 in words is "nineteen trillion, eight hundred forty-seven billion, four hundred sixty-one million, five hundred ninety-two thousand, four hundred one".