1090986910464 has 576 divisors, whose sum is σ = 3375153266688. Its totient is φ = 309791539200.

The previous prime is 1090986910463. The next prime is 1090986910487. The reversal of 1090986910464 is 4640196890901.

It is not an unprimeable number, because it can be changed into a prime (1090986910463) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1152044839 + ... + 1152045785.

It is an arithmetic number, because the mean of its divisors is an integer number (5859641088).

Almost surely, 2^{1090986910464} 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 1090986910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687576633344).

1090986910464 is an abundant number, since it is smaller than the sum of its proper divisors (2284166356224).

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

1090986910464 is a wasteful number, since it uses less digits than its factorization.

1090986910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 1090986910464 in words is "one trillion, ninety billion, nine hundred eighty-six million, nine hundred ten thousand, four hundred sixty-four".