16379161344 has 216 divisors, whose sum is σ = 58124017952. Its totient is φ = 4319723520.

The previous prime is 16379161321. The next prime is 16379161349. The reversal of 16379161344 is 44316197361.

16379161344 is a `hidden beast` number, since 1 + 637 + 9 + 1 + 6 + 1 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16379161344.

It is not an unprimeable number, because it can be changed into a prime (16379161349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170604 + ... + 248724.

Almost surely, 2^16379161344 is an apocalyptic number.

16379161344 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 16379161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29062008976).

16379161344 is an abundant number, since it is smaller than the sum of its proper divisors (41744856608).

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

16379161344 is a wasteful number, since it uses less digits than its factorization.

16379161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78163 (or 78146 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 16379161344 in words is "sixteen billion, three hundred seventy-nine million, one hundred sixty-one thousand, three hundred forty-four".