90829301641 has 27 divisors (see below), whose sum is σ = 99795577941. Its totient is φ = 82630888704.

The previous prime is 90829301627. The next prime is 90829301653. The reversal of 90829301641 is 14610392809.

It is a happy number.

The square root of 90829301641 is 301379.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16594850041 + 74234451600 = 128821^2 + 272460^2 .

It is not a de Polignac number, because 90829301641 - 2²⁹ = 90292430729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90829301441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 380038800 + ... + 380039038.

Almost surely, 2^90829301641 is an apocalyptic number.

90829301641 is the 301379-th square number.

90829301641 is the 150690-th centered octagonal number.

It is an amenable number.

90829301641 is a deficient number, since it is larger than the sum of its proper divisors (8966276300).

90829301641 is an frugal number, since it uses more digits than its factorization.

90829301641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 90829301641 in words is "ninety billion, eight hundred twenty-nine million, three hundred one thousand, six hundred forty-one".