1116149760 has 384 divisors, whose sum is σ = 4340044800. Its totient is φ = 269844480.

The previous prime is 1116149759. The next prime is 1116149789. The reversal of 1116149760 is 679416111.

1116149760 is a `hidden beast` number, since 1 + 1 + 161 + 497 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 3041097 + ... + 3041463.

It is an arithmetic number, because the mean of its divisors is an integer number (11302200).

Almost surely, 2^1116149760 is an apocalyptic number.

1116149760 is a gapful number since it is divisible by the number (10) 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 1116149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170022400).

1116149760 is an abundant number, since it is smaller than the sum of its proper divisors (3223895040).

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

1116149760 is a wasteful number, since it uses less digits than its factorization.

1116149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1116149760 is about 33408.8275759566. The cubic root of 1116149760 is about 1037.3074333659.

The spelling of 1116149760 in words is "one billion, one hundred sixteen million, one hundred forty-nine thousand, seven hundred sixty".