73590319110401 has 32 divisors (see below), whose sum is σ = 76711983931296. Its totient is φ = 70534683648000.

The previous prime is 73590319110299. The next prime is 73590319110467. The reversal of 73590319110401 is 10401191309537.

It is a Cunningham number, because it is equal to 8578480²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 17223994032400 + 56366325078001 = 4150180^2 + 7507751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73590319110401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73590319110491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10253628725 + ... + 10253635901.

It is an arithmetic number, because the mean of its divisors is an integer number (2397249497853).

Almost surely, 2^{73590319110401} is an apocalyptic number.

It is an amenable number.

73590319110401 is a deficient number, since it is larger than the sum of its proper divisors (3121664820895).

73590319110401 is a wasteful number, since it uses less digits than its factorization.

73590319110401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573.

The product of its (nonzero) digits is 102060, while the sum is 44.

The spelling of 73590319110401 in words is "seventy-three trillion, five hundred ninety billion, three hundred nineteen million, one hundred ten thousand, four hundred one".