1161264147264 has 224 divisors, whose sum is σ = 3745881296640. Its totient is φ = 350569949184.

The previous prime is 1161264147229. The next prime is 1161264147283. The reversal of 1161264147264 is 4627414621611.

1161264147264 is a `hidden beast` number, since 1 + 1 + 61 + 2 + 64 + 1 + 472 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 702909 + ... + 1678275.

It is an arithmetic number, because the mean of its divisors is an integer number (16722684360).

Almost surely, 2^{1161264147264} 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 1161264147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872940648320).

1161264147264 is an abundant number, since it is smaller than the sum of its proper divisors (2584617149376).

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

1161264147264 is a wasteful number, since it uses less digits than its factorization.

1161264147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975454 (or 975438 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

Adding to 1161264147264 its reverse (4627414621611), we get a palindrome (5788678768875).

The spelling of 1161264147264 in words is "one trillion, one hundred sixty-one billion, two hundred sixty-four million, one hundred forty-seven thousand, two hundred sixty-four".