93884036954401 has 32 divisors (see below), whose sum is σ = 98159895177120. Its totient is φ = 89714518327296.

The previous prime is 93884036954363. The next prime is 93884036954423. The reversal of 93884036954401 is 10445963048839.

It can be written as a sum of positive squares in 16 ways, for example, as 6340318964001 + 87543717990400 = 2517999^2 + 9356480^2 .

It is a cyclic number.

It is not a de Polignac number, because 93884036954401 - 2¹⁹ = 93884036430113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93884036952401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518808771 + ... + 1518870583.

It is an arithmetic number, because the mean of its divisors is an integer number (3067496724285).

Almost surely, 2^{93884036954401} is an apocalyptic number.

It is an amenable number.

93884036954401 is a deficient number, since it is larger than the sum of its proper divisors (4275858222719).

93884036954401 is a wasteful number, since it uses less digits than its factorization.

93884036954401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65173.

The product of its (nonzero) digits is 89579520, while the sum is 64.

The spelling of 93884036954401 in words is "ninety-three trillion, eight hundred eighty-four billion, thirty-six million, nine hundred fifty-four thousand, four hundred one".