1090666450048 has 128 divisors (see below), whose sum is σ = 2504967897600. Its totient is φ = 463347855360.

The previous prime is 1090666449989. The next prime is 1090666450063. The reversal of 1090666450048 is 8400546660901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1090666449983 and 1090666450010.

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 15 ways as a sum of consecutive naturals, for example, 60620638 + ... + 60638626.

It is an arithmetic number, because the mean of its divisors is an integer number (19570061700).

Almost surely, 2^{1090666450048} 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 1090666450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252483948800).

1090666450048 is an abundant number, since it is smaller than the sum of its proper divisors (1414301447552).

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

1090666450048 is a wasteful number, since it uses less digits than its factorization.

1090666450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18598 (or 18586 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 1090666450048 in words is "one trillion, ninety billion, six hundred sixty-six million, four hundred fifty thousand, forty-eight".