16384168944 has 320 divisors, whose sum is σ = 55484782080. Its totient is φ = 4563578880.

The previous prime is 16384168943. The next prime is 16384168981. The reversal of 16384168944 is 44986148361.

16384168944 is a `hidden beast` number, since 16 + 384 + 168 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16384168943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20818119 + ... + 20818905.

It is an arithmetic number, because the mean of its divisors is an integer number (173389944).

Almost surely, 2^16384168944 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 16384168944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27742391040).

16384168944 is an abundant number, since it is smaller than the sum of its proper divisors (39100613136).

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

16384168944 is a wasteful number, since it uses less digits than its factorization.

16384168944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 16384168944 in words is "sixteen billion, three hundred eighty-four million, one hundred sixty-eight thousand, nine hundred forty-four".