16009371648 has 336 divisors, whose sum is σ = 50097772296. Its totient is φ = 4907335680.

The previous prime is 16009371647. The next prime is 16009371673. The reversal of 16009371648 is 84617390061.

It is a happy number.

16009371648 is a `hidden beast` number, since 1 + 600 + 9 + 37 + 1 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16009334784 + 36864 = 126528^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (16009371641) 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, 66428808 + ... + 66429048.

Almost surely, 2^16009371648 is an apocalyptic number.

16009371648 is a gapful number since it is divisible by the number (18) 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 16009371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048886148).

16009371648 is an abundant number, since it is smaller than the sum of its proper divisors (34088400648).

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

16009371648 is a wasteful number, since it uses less digits than its factorization.

16009371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16009371648 in words is "sixteen billion, nine million, three hundred seventy-one thousand, six hundred forty-eight".