90473635171584 has 864 divisors, whose sum is σ = 315399739060224. Its totient is φ = 24383863848960.

The previous prime is 90473635171571. The next prime is 90473635171643. The reversal of 90473635171584 is 48517153637409.

90473635171584 is a `hidden beast` number, since 9 + 0 + 4 + 7 + 3 + 6 + 35 + 17 + 1 + 584 = 666.

90473635171584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90473635171584² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19427447784 + ... + 19427452440.

Almost surely, 2^{90473635171584} 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 90473635171584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157699869530112).

90473635171584 is an abundant number, since it is smaller than the sum of its proper divisors (224926103888640).

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

90473635171584 is a wasteful number, since it uses less digits than its factorization.

90473635171584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 90473635171584 in words is "ninety trillion, four hundred seventy-three billion, six hundred thirty-five million, one hundred seventy-one thousand, five hundred eighty-four".