1158633216 has 216 divisors, whose sum is σ = 3642702336. Its totient is φ = 352051200.

The previous prime is 1158633199. The next prime is 1158633241. The reversal of 1158633216 is 6123368511.

1158633216 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 633 + 2 + 16 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3024961 + ... + 3025343.

Almost surely, 2^1158633216 is an apocalyptic number.

1158633216 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 1158633216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821351168).

1158633216 is an abundant number, since it is smaller than the sum of its proper divisors (2484069120).

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

1158633216 is a wasteful number, since it uses less digits than its factorization.

1158633216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1158633216 is about 34038.7017378748. The cubic root of 1158633216 is about 1050.3047387588.

The spelling of 1158633216 in words is "one billion, one hundred fifty-eight million, six hundred thirty-three thousand, two hundred sixteen".