90642129019456 has 189 divisors, whose sum is σ = 210545637654009. Its totient is φ = 38604650746368.

The previous prime is 90642129019427. The next prime is 90642129019471. The reversal of 90642129019456 is 65491092124609.

The square root of 90642129019456 is 9520616.

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

It can be written as a sum of positive squares in only one way, i.e., 88811022081600 + 1831106937856 = 9423960^2 + 1353184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90642129019456.

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 26 ways as a sum of consecutive naturals, for example, 105031435281 + ... + 105031436143.

Almost surely, 2^{90642129019456} is an apocalyptic number.

90642129019456 is the 9520616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90642129019456

90642129019456 is an abundant number, since it is smaller than the sum of its proper divisors (119903508634553).

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

90642129019456 is an frugal number, since it uses more digits than its factorization.

90642129019456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 90642129019456 in words is "ninety trillion, six hundred forty-two billion, one hundred twenty-nine million, nineteen thousand, four hundred fifty-six".