1135852416 has 128 divisors (see below), whose sum is σ = 3549722400. Its totient is φ = 356327424.

The previous prime is 1135852411. The next prime is 1135852429. The reversal of 1135852416 is 6142585311.

1135852416 is a `hidden beast` number, since 113 + 5 + 8 + 524 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (1135852411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49086 + ... + 68418.

Almost surely, 2^1135852416 is an apocalyptic number.

1135852416 is a gapful number since it is divisible by the number (16) 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 1135852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774861200).

1135852416 is an abundant number, since it is smaller than the sum of its proper divisors (2413869984).

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

1135852416 is a wasteful number, since it uses less digits than its factorization.

1135852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19373 (or 19355 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1135852416 is about 33702.4096467894. The cubic root of 1135852416 is about 1043.3755017939.

The spelling of 1135852416 in words is "one billion, one hundred thirty-five million, eight hundred fifty-two thousand, four hundred sixteen".