1609117077006 has 160 divisors (see below), whose sum is σ = 3811813632000. Its totient is φ = 505948068288.

The previous prime is 1609117076977. The next prime is 1609117077017. The reversal of 1609117077006 is 6007707119061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 914789955 + ... + 914791713.

It is an arithmetic number, because the mean of its divisors is an integer number (23823835200).

Almost surely, 2^{1609117077006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609117077006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905906816000).

1609117077006 is an abundant number, since it is smaller than the sum of its proper divisors (2202696554994).

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

1609117077006 is a wasteful number, since it uses less digits than its factorization.

1609117077006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 45.

The spelling of 1609117077006 in words is "one trillion, six hundred nine billion, one hundred seventeen million, seventy-seven thousand, six".