161065013243904 has 1248 divisors, whose sum is σ = 585516957861888. Its totient is φ = 41442213888000.

The previous prime is 161065013243899. The next prime is 161065013243909. The reversal of 161065013243904 is 409342310560161.

161065013243904 is a `hidden beast` number, since 1 + 6 + 10 + 6 + 501 + 3 + 2 + 43 + 90 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (161065013243899) and next prime (161065013243909).

It is a super-2 number, since 2×161065013243904² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 161065013243904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161065013243909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211649162884 + ... + 211649163644.

It is an arithmetic number, because the mean of its divisors is an integer number (469164229056).

Almost surely, 2^{161065013243904} is an apocalyptic number.

161065013243904 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 161065013243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292758478930944).

161065013243904 is an abundant number, since it is smaller than the sum of its proper divisors (424451944617984).

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

161065013243904 is a wasteful number, since it uses less digits than its factorization.

161065013243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 161065013243904 in words is "one hundred sixty-one trillion, sixty-five billion, thirteen million, two hundred forty-three thousand, nine hundred four".