1146141480168 has 192 divisors, whose sum is σ = 3221832257280. Its totient is φ = 367817625600.

The previous prime is 1146141480167. The next prime is 1146141480259. The reversal of 1146141480168 is 8610841416411.

1146141480168 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 4 + 1 + 480 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (1146141480163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270250528 + ... + 270254768.

It is an arithmetic number, because the mean of its divisors is an integer number (16780376340).

Almost surely, 2^{1146141480168} is an apocalyptic number.

1146141480168 is a gapful number since it is divisible by the number (18) 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 1146141480168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610916128640).

1146141480168 is an abundant number, since it is smaller than the sum of its proper divisors (2075690777112).

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

1146141480168 is a wasteful number, since it uses less digits than its factorization.

1146141480168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5480 (or 5473 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

Adding to 1146141480168 its reverse (8610841416411), we get a palindrome (9756982896579).

The spelling of 1146141480168 in words is "one trillion, one hundred forty-six billion, one hundred forty-one million, four hundred eighty thousand, one hundred sixty-eight".