16404604920256 has 224 divisors, whose sum is σ = 38064035745792. Its totient is φ = 6869059891200.

The previous prime is 16404604920227. The next prime is 16404604920287. The reversal of 16404604920256 is 65202940640461.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×16404604920256² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11336975725 + ... + 11336977171.

It is an arithmetic number, because the mean of its divisors is an integer number (169928731008).

Almost surely, 2^{16404604920256} is an apocalyptic number.

16404604920256 is a gapful number since it is divisible by the number (16) 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 16404604920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19032017872896).

16404604920256 is an abundant number, since it is smaller than the sum of its proper divisors (21659430825536).

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

16404604920256 is a wasteful number, since it uses less digits than its factorization.

16404604920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 16404604920256 in words is "sixteen trillion, four hundred four billion, six hundred four million, nine hundred twenty thousand, two hundred fifty-six".