16284955104 has 144 divisors (see below), whose sum is σ = 52262748720. Its totient is φ = 4764641280.

The previous prime is 16284955087. The next prime is 16284955117. The reversal of 16284955104 is 40155948261.

16284955104 is a `hidden beast` number, since 1 + 628 + 4 + 9 + 5 + 5 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 16284955104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3244 + ... + 180500.

It is an arithmetic number, because the mean of its divisors is an integer number (362935755).

Almost surely, 2^16284955104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16284955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26131374360).

16284955104 is an abundant number, since it is smaller than the sum of its proper divisors (35977793616).

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

16284955104 is a wasteful number, since it uses less digits than its factorization.

16284955104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177313 (or 177302 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 16284955104 in words is "sixteen billion, two hundred eighty-four million, nine hundred fifty-five thousand, one hundred four".