1135348704 has 192 divisors, whose sum is σ = 3816046080. Its totient is φ = 321684480.

The previous prime is 1135348699. The next prime is 1135348727. The reversal of 1135348704 is 4078435311.

It is a happy number.

1135348704 is a `hidden beast` number, since 113 + 534 + 8 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 791572 + ... + 793004.

It is an arithmetic number, because the mean of its divisors is an integer number (19875240).

Almost surely, 2^1135348704 is an apocalyptic number.

1135348704 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 1135348704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908023040).

1135348704 is an abundant number, since it is smaller than the sum of its proper divisors (2680697376).

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

1135348704 is a wasteful number, since it uses less digits than its factorization.

1135348704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1135348704 is about 33694.9358806335. The cubic root of 1135348704 is about 1043.2212451135.

The spelling of 1135348704 in words is "one billion, one hundred thirty-five million, three hundred forty-eight thousand, seven hundred four".