90379550457856 has 225 divisors, whose sum is σ = 199631718135759. Its totient is φ = 40886914252800.

The previous prime is 90379550457853. The next prime is 90379550457871. The reversal of 90379550457856 is 65875405597309.

The square root of 90379550457856 is 9506816.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90379550457851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 428339101591 + ... + 428339101801.

Almost surely, 2^{90379550457856} is an apocalyptic number.

90379550457856 is the 9506816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90379550457856

90379550457856 is an abundant number, since it is smaller than the sum of its proper divisors (109252167677903).

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

90379550457856 is an frugal number, since it uses more digits than its factorization.

90379550457856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1428840000, while the sum is 73.

The spelling of 90379550457856 in words is "ninety trillion, three hundred seventy-nine billion, five hundred fifty million, four hundred fifty-seven thousand, eight hundred fifty-six".