161376680640 has 448 divisors, whose sum is σ = 626446808064. Its totient is φ = 34356068352.

The previous prime is 161376680629. The next prime is 161376680669. The reversal of 161376680640 is 46086673161.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 161376680640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11073999 + ... + 11088561.

It is an arithmetic number, because the mean of its divisors is an integer number (1398318768).

Almost surely, 2^161376680640 is an apocalyptic number.

161376680640 is a gapful number since it is divisible by the number (10) 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 161376680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313223404032).

161376680640 is an abundant number, since it is smaller than the sum of its proper divisors (465070127424).

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

161376680640 is a wasteful number, since it uses less digits than its factorization.

161376680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14704 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 161376680640 in words is "one hundred sixty-one billion, three hundred seventy-six million, six hundred eighty thousand, six hundred forty".