1611166165504 has 320 divisors, whose sum is σ = 3949154237952. Its totient is φ = 641669529600.

The previous prime is 1611166165501. The next prime is 1611166165517. The reversal of 1611166165504 is 4055616611161.

It is not an unprimeable number, because it can be changed into a prime (1611166165501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936179364 + ... + 936181084.

Almost surely, 2^{1611166165504} is an apocalyptic number.

1611166165504 is a gapful number since it is divisible by the number (14) 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 1611166165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974577118976).

1611166165504 is an abundant number, since it is smaller than the sum of its proper divisors (2337988072448).

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

1611166165504 is a wasteful number, since it uses less digits than its factorization.

1611166165504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 1611166165504 in words is "one trillion, six hundred eleven billion, one hundred sixty-six million, one hundred sixty-five thousand, five hundred four".