90874772001 has 24 divisors (see below), whose sum is σ = 141371233640. Its totient is φ = 55918791936.

The previous prime is 90874771987. The next prime is 90874772039. The reversal of 90874772001 is 10027747809.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20320787601 + 70553984400 = 142551^2 + 265620^2 .

It is not a de Polignac number, because 90874772001 - 2¹⁵ = 90874739233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90874772101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2507925 + ... + 2543901.

Almost surely, 2^90874772001 is an apocalyptic number.

It is an amenable number.

90874772001 is a deficient number, since it is larger than the sum of its proper divisors (50496461639).

90874772001 is a wasteful number, since it uses less digits than its factorization.

90874772001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57585 (or 57582 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 90874772001 in words is "ninety billion, eight hundred seventy-four million, seven hundred seventy-two thousand, one".