90546349824 has 288 divisors, whose sum is σ = 324016842240. Its totient is φ = 24348377088.

The previous prime is 90546349811. The next prime is 90546349847. The reversal of 90546349824 is 42894364509.

90546349824 is a `hidden beast` number, since 9 + 0 + 546 + 3 + 4 + 98 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 767487 + ... + 877569.

It is an arithmetic number, because the mean of its divisors is an integer number (1125058480).

Almost surely, 2^90546349824 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 90546349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162008421120).

90546349824 is an abundant number, since it is smaller than the sum of its proper divisors (233470492416).

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

90546349824 is a wasteful number, since it uses less digits than its factorization.

90546349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110132 (or 110112 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 90546349824 in words is "ninety billion, five hundred forty-six million, three hundred forty-nine thousand, eight hundred twenty-four".