16046341350400 has 528 divisors, whose sum is σ = 42567747543360. Its totient is φ = 5980107571200.

The previous prime is 16046341350379. The next prime is 16046341350427. The reversal of 16046341350400 is 405314364061.

It is a self number, because there is not a number n which added to its sum of digits gives 16046341350400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7529957335 + ... + 7529959465.

Almost surely, 2^{16046341350400} is an apocalyptic number.

16046341350400 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 16046341350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21283873771680).

16046341350400 is an abundant number, since it is smaller than the sum of its proper divisors (26521406192960).

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

16046341350400 is a wasteful number, since it uses less digits than its factorization.

16046341350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 16046341350400 in words is "sixteen trillion, forty-six billion, three hundred forty-one million, three hundred fifty thousand, four hundred".