1147056768 has 384 divisors, whose sum is σ = 4026388800. Its totient is φ = 319334400.

The previous prime is 1147056751. The next prime is 1147056787. The reversal of 1147056768 is 8676507411.

1147056768 is a `hidden beast` number, since 1 + 14 + 70 + 567 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5436183 + ... + 5436393.

Almost surely, 2^1147056768 is an apocalyptic number.

1147056768 is a gapful number since it is divisible by the number (18) 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 1147056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013194400).

1147056768 is an abundant number, since it is smaller than the sum of its proper divisors (2879332032).

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

1147056768 is a wasteful number, since it uses less digits than its factorization.

1147056768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1147056768 is about 33868.2265257571. The cubic root of 1147056768 is about 1046.7949943855.

The spelling of 1147056768 in words is "one billion, one hundred forty-seven million, fifty-six thousand, seven hundred sixty-eight".