90453338404416 has 567 divisors, whose sum is σ = 291787557294051. Its totient is φ = 27807144708096.

The previous prime is 90453338404399. The next prime is 90453338404427. The reversal of 90453338404416 is 61440483335409.

The square root of 90453338404416 is 9510696.

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

90453338404416 is a `hidden beast` number, since 90 + 4 + 5 + 3 + 33 + 84 + 0 + 441 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53759983694400 + 36693354710016 = 7332120^2 + 6057504^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80118102540 + ... + 80118103668.

Almost surely, 2^{90453338404416} is an apocalyptic number.

90453338404416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90453338404416 is the 9510696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90453338404416

90453338404416 is an abundant number, since it is smaller than the sum of its proper divisors (201334218889635).

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

90453338404416 is an frugal number, since it uses more digits than its factorization.

90453338404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 90453338404416 in words is "ninety trillion, four hundred fifty-three billion, three hundred thirty-eight million, four hundred four thousand, four hundred sixteen".