73814043800401 has 8 divisors (see below), whose sum is σ = 75511664773160. Its totient is φ = 72134976062592.

The previous prime is 73814043800389. The next prime is 73814043800417. The reversal of 73814043800401 is 10400834041837.

It can be written as a sum of positive squares in 4 ways, for example, as 25355404222225 + 48458639578176 = 5035415^2 + 6961224^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73814043800401 - 2⁵ = 73814043800369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73814043807401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4638300690 + ... + 4638316603.

It is an arithmetic number, because the mean of its divisors is an integer number (9438958096645).

Almost surely, 2^{73814043800401} is an apocalyptic number.

It is an amenable number.

73814043800401 is a deficient number, since it is larger than the sum of its proper divisors (1697620972759).

73814043800401 is a wasteful number, since it uses less digits than its factorization.

73814043800401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9276617475.

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 73814043800401 in words is "seventy-three trillion, eight hundred fourteen billion, forty-three million, eight hundred thousand, four hundred one".