1146673198080 has 1056 divisors, whose sum is σ = 4233729202560. Its totient is φ = 286619074560.

The previous prime is 1146673197983. The next prime is 1146673198087. The reversal of 1146673198080 is 808913766411.

1146673198080 is a `hidden beast` number, since 11 + 466 + 7 + 3 + 1 + 98 + 0 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146673198087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6405995431 + ... + 6405995609.

It is an arithmetic number, because the mean of its divisors is an integer number (4009213260).

Almost surely, 2^{1146673198080} is an apocalyptic number.

1146673198080 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 1146673198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116864601280).

1146673198080 is an abundant number, since it is smaller than the sum of its proper divisors (3087056004480).

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

1146673198080 is a wasteful number, since it uses less digits than its factorization.

1146673198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1146673198080 in words is "one trillion, one hundred forty-six billion, six hundred seventy-three million, one hundred ninety-eight thousand, eighty".