90801267216001 has 4 divisors (see below), whose sum is σ = 90805192761904. Its totient is φ = 90797341670100.

The previous prime is 90801267215999. The next prime is 90801267216073. The reversal of 90801267216001 is 10061276210809.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 90801267216001 - 2¹ = 90801267215999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90801267216701) 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 3 ways as a sum of consecutive naturals, for example, 1962738255 + ... + 1962784516.

It is an arithmetic number, because the mean of its divisors is an integer number (22701298190476).

Almost surely, 2^{90801267216001} is an apocalyptic number.

It is an amenable number.

90801267216001 is a deficient number, since it is larger than the sum of its proper divisors (3925545903).

90801267216001 is a wasteful number, since it uses less digits than its factorization.

90801267216001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925545902.

The product of its (nonzero) digits is 72576, while the sum is 43.

The spelling of 90801267216001 in words is "ninety trillion, eight hundred one billion, two hundred sixty-seven million, two hundred sixteen thousand, one".