90184955723776 has 69 divisors (see below), whose sum is σ = 180408796305049. Its totient is φ = 45082753368064.

The previous prime is 90184955723747. The next prime is 90184955723783. The reversal of 90184955723776 is 67732755948109.

The square root of 90184955723776 is 9496576.

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

It can be written as a sum of positive squares in only one way, i.e., 22672834560000 + 67512121163776 = 4761600^2 + 8216576^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90184955723699 and 90184955723708.

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, 19448985330 + ... + 19448989966.

It is a 2-persistent number, because it is pandigital, and so is 2⋅90184955723776 = 180369911447552, but 3⋅90184955723776 = 270554867171328 is not.

Almost surely, 2^{90184955723776} is an apocalyptic number.

90184955723776 is the 9496576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90184955723776

90184955723776 is an abundant number, since it is smaller than the sum of its proper divisors (90223840581273).

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

90184955723776 is an frugal number, since it uses more digits than its factorization.

90184955723776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9318 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 73.

It can be divided in two parts, 901849 and 55723776, that added together give a square (56625625 = 7525²).

The spelling of 90184955723776 in words is "ninety trillion, one hundred eighty-four billion, nine hundred fifty-five million, seven hundred twenty-three thousand, seven hundred seventy-six".