1146460355712 has 320 divisors, whose sum is σ = 3901803829440. Its totient is φ = 327345960960.

The previous prime is 1146460355653. The next prime is 1146460355713. The reversal of 1146460355712 is 2175530646411.

It is a happy number.

1146460355712 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 46 + 0 + 35 + 571 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1146460355713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135495162 + ... + 135503622.

It is an arithmetic number, because the mean of its divisors is an integer number (12193136967).

Almost surely, 2^{1146460355712} is an apocalyptic number.

1146460355712 is a gapful number since it is divisible by the number (12) 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 1146460355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950901914720).

1146460355712 is an abundant number, since it is smaller than the sum of its proper divisors (2755343473728).

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

1146460355712 is an equidigital number, since it uses as much as digits as its factorization.

1146460355712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10361 (or 10340 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1146460355712 in words is "one trillion, one hundred forty-six billion, four hundred sixty million, three hundred fifty-five thousand, seven hundred twelve".