1146880000 has 190 divisors, whose sum is σ = 3275745176. Its totient is φ = 393216000.

The previous prime is 1146879991. The next prime is 1146880001. The reversal of 1146880000 is 886411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146880001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163839997 + ... + 163840003.

Almost surely, 2^1146880000 is an apocalyptic number.

1146880000 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 1146880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637872588).

1146880000 is an abundant number, since it is smaller than the sum of its proper divisors (2128865176).

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

1146880000 is an frugal number, since it uses more digits than its factorization.

1146880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1146880000 is about 33865.6167816268. The cubic root of 1146880000 is about 1046.7412192603.

Multiplying 1146880000 by its sum of digits (28), we get a square (32112640000 = 179200²).

1146880000 divided by its sum of digits (28) gives a 4-th power (40960000 = 80⁴).

The spelling of 1146880000 in words is "one billion, one hundred forty-six million, eight hundred eighty thousand".