90246342170880 has 1296 divisors, whose sum is σ = 381217611587904. Its totient is φ = 20378922762240.

The previous prime is 90246342170773. The next prime is 90246342170909. The reversal of 90246342170880 is 8807124364209.

90246342170880 is a `hidden beast` number, since 9 + 0 + 2 + 463 + 4 + 2 + 170 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×90246342170880² (a number of 29 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1264964010 + ... + 1265035350.

Almost surely, 2^{90246342170880} is an apocalyptic number.

90246342170880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90246342170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190608805793952).

90246342170880 is an abundant number, since it is smaller than the sum of its proper divisors (290971269417024).

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

90246342170880 is an equidigital number, since it uses as much as digits as its factorization.

90246342170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71474 (or 71441 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 90246342170880 in words is "ninety trillion, two hundred forty-six billion, three hundred forty-two million, one hundred seventy thousand, eight hundred eighty".