1135513276416 has 156 divisors (see below), whose sum is σ = 3281194847580. Its totient is φ = 378363248640.

The previous prime is 1135513276411. The next prime is 1135513276427. The reversal of 1135513276416 is 6146723155311.

1135513276416 is a `hidden beast` number, since 1 + 1 + 3 + 551 + 3 + 27 + 64 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1120413782016 + 15099494400 = 1058496^2 + 122880^2 .

It is not an unprimeable number, because it can be changed into a prime (1135513276411) 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 11 ways as a sum of consecutive naturals, for example, 157073890 + ... + 157081118.

It is an arithmetic number, because the mean of its divisors is an integer number (21033300305).

Almost surely, 2^{1135513276416} is an apocalyptic number.

1135513276416 is a gapful number since it is divisible by the number (16) 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 1135513276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640597423790).

1135513276416 is an abundant number, since it is smaller than the sum of its proper divisors (2145681571164).

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

1135513276416 is an equidigital number, since it uses as much as digits as its factorization.

1135513276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11495 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 1135513276416 in words is "one trillion, one hundred thirty-five billion, five hundred thirteen million, two hundred seventy-six thousand, four hundred sixteen".