1129718016 has 360 divisors, whose sum is σ = 3961141184. Its totient is φ = 313528320.

The previous prime is 1129717999. The next prime is 1129718041. The reversal of 1129718016 is 6108179211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6241446 + ... + 6241626.

Almost surely, 2^1129718016 is an apocalyptic number.

1129718016 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 1129718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980570592).

1129718016 is an abundant number, since it is smaller than the sum of its proper divisors (2831423168).

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

1129718016 is an equidigital number, since it uses as much as digits as its factorization.

1129718016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1129718016 is about 33611.2781072068. The cubic root of 1129718016 is about 1041.4937902704.

The spelling of 1129718016 in words is "one billion, one hundred twenty-nine million, seven hundred eighteen thousand, sixteen".