1146318324480 has 1728 divisors, whose sum is σ = 4904464844160. Its totient is φ = 255839109120.

The previous prime is 1146318324449. The next prime is 1146318324499. The reversal of 1146318324480 is 844238136411.

1146318324480 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 318 + 324 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8367286972 + ... + 8367287108.

It is an arithmetic number, because the mean of its divisors is an integer number (2838231970).

Almost surely, 2^{1146318324480} is an apocalyptic number.

1146318324480 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 1146318324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452232422080).

1146318324480 is an abundant number, since it is smaller than the sum of its proper divisors (3758146519680).

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

1146318324480 is an frugal number, since it uses more digits than its factorization.

1146318324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1146318324480 in words is "one trillion, one hundred forty-six billion, three hundred eighteen million, three hundred twenty-four thousand, four hundred eighty".