160983137664 has 192 divisors, whose sum is σ = 483196044240. Its totient is φ = 53349083136.

The previous prime is 160983137641. The next prime is 160983137717. The reversal of 160983137664 is 466731389061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×160983137664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 160983137664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5366034 + ... + 5395950.

Almost surely, 2^160983137664 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 160983137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241598022120).

160983137664 is an abundant number, since it is smaller than the sum of its proper divisors (322212906576).

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

160983137664 is an equidigital number, since it uses as much as digits as its factorization.

160983137664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30119 (or 30095 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 160983137664 in words is "one hundred sixty billion, nine hundred eighty-three million, one hundred thirty-seven thousand, six hundred sixty-four".