161340360001110 has 768 divisors, whose sum is σ = 474885767865600. Its totient is φ = 39258762117120.

The previous prime is 161340360001099. The next prime is 161340360001129. The reversal of 161340360001110 is 11100063043161.

161340360001110 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 40 + 3 + 600 + 0 + 1 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 104157752616 + ... + 104157754164.

It is an arithmetic number, because the mean of its divisors is an integer number (618340843575).

Almost surely, 2^{161340360001110} is an apocalyptic number.

161340360001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161340360001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237442883932800).

161340360001110 is an abundant number, since it is smaller than the sum of its proper divisors (313545407864490).

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

161340360001110 is a wasteful number, since it uses less digits than its factorization.

161340360001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 161340360001110 in words is "one hundred sixty-one trillion, three hundred forty billion, three hundred sixty million, one thousand, one hundred ten".