1159416384 has 112 divisors (see below), whose sum is σ = 3658380288. Its totient is φ = 316850688.

The previous prime is 1159416373. The next prime is 1159416421. The reversal of 1159416384 is 4836149511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1159416384³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12159 + ... + 49665.

Almost surely, 2^1159416384 is an apocalyptic number.

1159416384 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 1159416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829190144).

1159416384 is an abundant number, since it is smaller than the sum of its proper divisors (2498963904).

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

1159416384 is a wasteful number, since it uses less digits than its factorization.

1159416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37552 (or 37542 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 1159416384 is about 34050.2038760416. The cubic root of 1159416384 is about 1050.5413335628.

The spelling of 1159416384 in words is "one billion, one hundred fifty-nine million, four hundred sixteen thousand, three hundred eighty-four".