1147711371264 has 144 divisors (see below), whose sum is σ = 3328020947160. Its totient is φ = 381044736000.

The previous prime is 1147711371211. The next prime is 1147711371283. The reversal of 1147711371264 is 4621731177411.

1147711371264 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 7 + 11 + 371 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 4502394 + ... + 4750470.

Almost surely, 2^{1147711371264} 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 1147711371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664010473580).

1147711371264 is an abundant number, since it is smaller than the sum of its proper divisors (2180309575896).

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

1147711371264 is a wasteful number, since it uses less digits than its factorization.

1147711371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248356 (or 248333 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The spelling of 1147711371264 in words is "one trillion, one hundred forty-seven billion, seven hundred eleven million, three hundred seventy-one thousand, two hundred sixty-four".