1126091624064 has 128 divisors (see below), whose sum is σ = 3271630970880. Its totient is φ = 340348431360.

The previous prime is 1126091624051. The next prime is 1126091624071. The reversal of 1126091624064 is 4604261906211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1269759 + ... + 1965825.

It is an arithmetic number, because the mean of its divisors is an integer number (25559616960).

Almost surely, 2^{1126091624064} 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 1126091624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635815485440).

1126091624064 is an abundant number, since it is smaller than the sum of its proper divisors (2145539346816).

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

1126091624064 is a wasteful number, since it uses less digits than its factorization.

1126091624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696478 (or 696466 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 1126091624064 in words is "one trillion, one hundred twenty-six billion, ninety-one million, six hundred twenty-four thousand, sixty-four".