1135769826464 has 192 divisors, whose sum is σ = 2915339599872. Its totient is φ = 422682624000.

The previous prime is 1135769826431. The next prime is 1135769826467. The reversal of 1135769826464 is 4646289675311.

It is a junction number, because it is equal to n+sod(n) for n = 1135769826397 and 1135769826406.

It is not an unprimeable number, because it can be changed into a prime (1135769826467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138656609 + ... + 138664799.

It is an arithmetic number, because the mean of its divisors is an integer number (15184060416).

Almost surely, 2^{1135769826464} is an apocalyptic number.

1135769826464 is a gapful number since it is divisible by the number (14) 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 1135769826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457669799936).

1135769826464 is an abundant number, since it is smaller than the sum of its proper divisors (1779569773408).

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

1135769826464 is a wasteful number, since it uses less digits than its factorization.

1135769826464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 11031 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 62.

The spelling of 1135769826464 in words is "one trillion, one hundred thirty-five billion, seven hundred sixty-nine million, eight hundred twenty-six thousand, four hundred sixty-four".