1146355782000 has 640 divisors, whose sum is σ = 4367642452992. Its totient is φ = 255011328000.

The previous prime is 1146355781993. The next prime is 1146355782023. The reversal of 1146355782000 is 2875536411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 148430139 + ... + 148437861.

Almost surely, 2^{1146355782000} is an apocalyptic number.

1146355782000 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 1146355782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183821226496).

1146355782000 is an abundant number, since it is smaller than the sum of its proper divisors (3221286670992).

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

1146355782000 is a wasteful number, since it uses less digits than its factorization.

1146355782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7946 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1146355782000 in words is "one trillion, one hundred forty-six billion, three hundred fifty-five million, seven hundred eighty-two thousand".