16128661248 has 288 divisors, whose sum is σ = 55629504000. Its totient is φ = 4607511552.

The previous prime is 16128661223. The next prime is 16128661259. The reversal of 16128661248 is 84216682161.

It is a happy number.

16128661248 is a `hidden beast` number, since 1 + 6 + 1 + 28 + 6 + 612 + 4 + 8 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2367415 + ... + 2374217.

It is an arithmetic number, because the mean of its divisors is an integer number (193158000).

Almost surely, 2^16128661248 is an apocalyptic number.

16128661248 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 16128661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27814752000).

16128661248 is an abundant number, since it is smaller than the sum of its proper divisors (39500842752).

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

16128661248 is an frugal number, since it uses more digits than its factorization.

16128661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849 (or 6815 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 16128661248 in words is "sixteen billion, one hundred twenty-eight million, six hundred sixty-one thousand, two hundred forty-eight".