16365129984 has 216 divisors, whose sum is σ = 54043621632. Its totient is φ = 4665507840.

The previous prime is 16365129943. The next prime is 16365130013. The reversal of 16365129984 is 48992156361.

16365129984 is a `hidden beast` number, since 1 + 6 + 36 + 512 + 9 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16365129984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10337257 + ... + 10338839.

It is an arithmetic number, because the mean of its divisors is an integer number (250201952).

Almost surely, 2^16365129984 is an apocalyptic number.

16365129984 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 16365129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021810816).

16365129984 is an abundant number, since it is smaller than the sum of its proper divisors (37678491648).

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

16365129984 is a wasteful number, since it uses less digits than its factorization.

16365129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2236 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 16365129984 in words is "sixteen billion, three hundred sixty-five million, one hundred twenty-nine thousand, nine hundred eighty-four".