1135318464 has 224 divisors, whose sum is σ = 3897538560. Its totient is φ = 317316096.

The previous prime is 1135318453. The next prime is 1135318469. The reversal of 1135318464 is 4648135311.

1135318464 is a `hidden beast` number, since 113 + 531 + 8 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135318469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567514 + ... + 569510.

Almost surely, 2^1135318464 is an apocalyptic number.

1135318464 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 1135318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948769280).

1135318464 is an abundant number, since it is smaller than the sum of its proper divisors (2762220096).

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

1135318464 is a wasteful number, since it uses less digits than its factorization.

1135318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2056 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1135318464 is about 33694.4871455257. The cubic root of 1135318464 is about 1043.2119829692.

The spelling of 1135318464 in words is "one billion, one hundred thirty-five million, three hundred eighteen thousand, four hundred sixty-four".