90405583613813 has 16 divisors (see below), whose sum is σ = 97414996896000. Its totient is φ = 83404058120064.

The previous prime is 90405583613783. The next prime is 90405583613831. The reversal of 90405583613813 is 31831638550409.

It is a cyclic number.

It is not a de Polignac number, because 90405583613813 - 2¹² = 90405583609717 is a prime.

It is a super-2 number, since 2×90405583613813² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90405583613843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201124688 + ... + 201573686.

It is an arithmetic number, because the mean of its divisors is an integer number (6088437306000).

Almost surely, 2^{90405583613813} is an apocalyptic number.

It is an amenable number.

90405583613813 is a deficient number, since it is larger than the sum of its proper divisors (7009413282187).

90405583613813 is a wasteful number, since it uses less digits than its factorization.

90405583613813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457748.

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 90405583613813 in words is "ninety trillion, four hundred five billion, five hundred eighty-three million, six hundred thirteen thousand, eight hundred thirteen".