1611673004160 has 768 divisors, whose sum is σ = 5750431315200. Its totient is φ = 415820021760.

The previous prime is 1611673004147. The next prime is 1611673004203. The reversal of 1611673004160 is 614003761161.

1611673004160 is a `hidden beast` number, since 1 + 611 + 6 + 7 + 30 + 0 + 4 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6917051404 + ... + 6917051636.

It is an arithmetic number, because the mean of its divisors is an integer number (7487540775).

Almost surely, 2^{1611673004160} is an apocalyptic number.

1611673004160 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 1611673004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875215657600).

1611673004160 is an abundant number, since it is smaller than the sum of its proper divisors (4138758311040).

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

1611673004160 is a wasteful number, since it uses less digits than its factorization.

1611673004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1611673004160 in words is "one trillion, six hundred eleven billion, six hundred seventy-three million, four thousand, one hundred sixty".