16084961846400 has 384 divisors, whose sum is σ = 53770958438400. Its totient is φ = 4225374720000.

The previous prime is 16084961846353. The next prime is 16084961846423. The reversal of 16084961846400 is 464816948061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871757175 + ... + 871775625.

It is an arithmetic number, because the mean of its divisors is an integer number (140028537600).

Almost surely, 2^{16084961846400} is an apocalyptic number.

16084961846400 is a gapful number since it is divisible by the number (10) 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 16084961846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26885479219200).

16084961846400 is an abundant number, since it is smaller than the sum of its proper divisors (37685996592000).

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

16084961846400 is a wasteful number, since it uses less digits than its factorization.

16084961846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19828 (or 19811 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 16084961846400 in words is "sixteen trillion, eighty-four billion, nine hundred sixty-one million, eight hundred forty-six thousand, four hundred".