90458759168 has 42 divisors (see below), whose sum is σ = 180960933099. Its totient is φ = 45215768576.

The previous prime is 90458759117. The next prime is 90458759189. The reversal of 90458759168 is 86195785409.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 45229379584 + 45229379584 = 212672^2 + 212672^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=212672.

It is a super-2 number, since 2×90458759168² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90458759168.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 27220355 + ... + 27223677.

Almost surely, 2^90458759168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90458759168

90458759168 is an abundant number, since it is smaller than the sum of its proper divisors (90502173931).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90458759168 is an frugal number, since it uses more digits than its factorization.

90458759168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 62.

The spelling of 90458759168 in words is "ninety billion, four hundred fifty-eight million, seven hundred fifty-nine thousand, one hundred sixty-eight".