16077109248 has 288 divisors, whose sum is σ = 48056299200. Its totient is φ = 5175705600.

The previous prime is 16077109241. The next prime is 16077109267. The reversal of 16077109248 is 84290177061.

It is a happy number.

16077109248 is a `hidden beast` number, since 1 + 607 + 7 + 10 + 9 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16077109241) 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, 88823718 + ... + 88823898.

It is an arithmetic number, because the mean of its divisors is an integer number (166862150).

Almost surely, 2^16077109248 is an apocalyptic number.

16077109248 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 16077109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24028149600).

16077109248 is an abundant number, since it is smaller than the sum of its proper divisors (31979189952).

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

16077109248 is a wasteful number, since it uses less digits than its factorization.

16077109248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 16077109248 in words is "sixteen billion, seventy-seven million, one hundred nine thousand, two hundred forty-eight".