2161175710456 has 192 divisors, whose sum is σ = 5256603475200. Its totient is φ = 825406848000.

The previous prime is 2161175710451. The next prime is 2161175710457. The reversal of 2161175710456 is 6540175711612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161175710451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322994071 + ... + 323000761.

It is an arithmetic number, because the mean of its divisors is an integer number (27378143100).

Almost surely, 2^{2161175710456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2161175710456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628301737600).

2161175710456 is an abundant number, since it is smaller than the sum of its proper divisors (3095427764744).

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

2161175710456 is a wasteful number, since it uses less digits than its factorization.

2161175710456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9298 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 2161175710456 in words is "two trillion, one hundred sixty-one billion, one hundred seventy-five million, seven hundred ten thousand, four hundred fifty-six".