73298408979601 has 9 divisors (see below), whose sum is σ = 79370587047249. Its totient is φ = 67659967089936.

The previous prime is 73298408979581. The next prime is 73298408979623. The reversal of 73298408979601 is 10697980489237.

The square root of 73298408979601 is 8561449.

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

It can be written as a sum of positive squares in 4 ways, for example, as 703919322001 + 72594489657600 = 838999^2 + 8520240^2 .

It is not a de Polignac number, because 73298408979601 - 2⁷ = 73298408979473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73298408479601) 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, 110969551 + ... + 111628123.

It is an arithmetic number, because the mean of its divisors is an integer number (8818954116361).

Almost surely, 2^{73298408979601} is an apocalyptic number.

73298408979601 is the 8561449-th square number.

73298408979601 is the 4280725-th centered octagonal number.

It is an amenable number.

73298408979601 is a deficient number, since it is larger than the sum of its proper divisors (6072178067648).

73298408979601 is an frugal number, since it uses more digits than its factorization.

73298408979601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317172 (or 658586 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 73.

The spelling of 73298408979601 in words is "seventy-three trillion, two hundred ninety-eight billion, four hundred eight million, nine hundred seventy-nine thousand, six hundred one".