90168143978004 has 96 divisors (see below), whose sum is σ = 224145303782400. Its totient is φ = 28130166155520.

The previous prime is 90168143977999. The next prime is 90168143978041. The reversal of 90168143978004 is 40087934186109.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21864609 + ... + 25659255.

It is an arithmetic number, because the mean of its divisors is an integer number (2334846914400).

Almost surely, 2^{90168143978004} 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 90168143978004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112072651891200).

90168143978004 is an abundant number, since it is smaller than the sum of its proper divisors (133977159804396).

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

90168143978004 is a wasteful number, since it uses less digits than its factorization.

90168143978004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795933 (or 3795931 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 90168143978004 in words is "ninety trillion, one hundred sixty-eight billion, one hundred forty-three million, nine hundred seventy-eight thousand, four".