90852794201 has 16 divisors (see below), whose sum is σ = 102170920320. Its totient is φ = 80158552320.

The previous prime is 90852794191. The next prime is 90852794203. The reversal of 90852794201 is 10249725809.

It is a cyclic number.

It is not a de Polignac number, because 90852794201 - 2¹⁴ = 90852777817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90852794203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295310 + ... + 518568.

It is an arithmetic number, because the mean of its divisors is an integer number (6385682520).

Almost surely, 2^90852794201 is an apocalyptic number.

It is an amenable number.

90852794201 is a deficient number, since it is larger than the sum of its proper divisors (11318126119).

90852794201 is a wasteful number, since it uses less digits than its factorization.

90852794201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224656.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 90852794201 in words is "ninety billion, eight hundred fifty-two million, seven hundred ninety-four thousand, two hundred one".