90645649601 has 8 divisors (see below), whose sum is σ = 98624768424. Its totient is φ = 82810298880.

The previous prime is 90645649547. The next prime is 90645649709. The reversal of 90645649601 is 10694654609.

It can be written as a sum of positive squares in 4 ways, for example, as 2821734400 + 87823915201 = 53120^2 + 296351^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90645649601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90645649601.

It is not an unprimeable number, because it can be changed into a prime (90645669601) 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, 35940710 + ... + 35943231.

It is an arithmetic number, because the mean of its divisors is an integer number (12328096053).

Almost surely, 2^90645649601 is an apocalyptic number.

It is an amenable number.

90645649601 is a deficient number, since it is larger than the sum of its proper divisors (7979118823).

90645649601 is a wasteful number, since it uses less digits than its factorization.

90645649601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71884051.

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 90645649601 in words is "ninety billion, six hundred forty-five million, six hundred forty-nine thousand, six hundred one".