1146893469120 has 1344 divisors, whose sum is σ = 4927181635584. Its totient is φ = 239117598720.

The previous prime is 1146893469107. The next prime is 1146893469133. The reversal of 1146893469120 is 219643986411.

1146893469120 is a `hidden beast` number, since 1 + 1 + 468 + 93 + 4 + 6 + 91 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1146893469107) and next prime (1146893469133).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

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, 1049307294 + ... + 1049308386.

Almost surely, 2^{1146893469120} is an apocalyptic number.

1146893469120 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 1146893469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463590817792).

1146893469120 is an abundant number, since it is smaller than the sum of its proper divisors (3780288166464).

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

1146893469120 is a wasteful number, since it uses less digits than its factorization.

1146893469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1146893469120 in words is "one trillion, one hundred forty-six billion, eight hundred ninety-three million, four hundred sixty-nine thousand, one hundred twenty".