1149331680 has 576 divisors, whose sum is σ = 4808014848. Its totient is φ = 253808640.

The previous prime is 1149331663. The next prime is 1149331697. The reversal of 1149331680 is 861339411.

1149331680 is a `hidden beast` number, since 1 + 1 + 493 + 3 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1149331663) and next prime (1149331697).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11158509 + ... + 11158611.

It is an arithmetic number, because the mean of its divisors is an integer number (8347248).

Almost surely, 2^1149331680 is an apocalyptic number.

1149331680 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 1149331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404007424).

1149331680 is an abundant number, since it is smaller than the sum of its proper divisors (3658683168).

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

1149331680 is a wasteful number, since it uses less digits than its factorization.

1149331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1149331680 is about 33901.7946427619. The cubic root of 1149331680 is about 1047.4865596747.

The spelling of 1149331680 in words is "one billion, one hundred forty-nine million, three hundred thirty-one thousand, six hundred eighty".