16546642403456 has 256 divisors, whose sum is σ = 37633241088000. Its totient is φ = 7178308300800.

The previous prime is 16546642403441. The next prime is 16546642403503. The reversal of 16546642403456 is 65430424664561.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3824042765 + ... + 3824047091.

It is an arithmetic number, because the mean of its divisors is an integer number (147004848000).

Almost surely, 2^{16546642403456} is an apocalyptic number.

16546642403456 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 16546642403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816620544000).

16546642403456 is an abundant number, since it is smaller than the sum of its proper divisors (21086598684544).

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

16546642403456 is a wasteful number, since it uses less digits than its factorization.

16546642403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 56.

The spelling of 16546642403456 in words is "sixteen trillion, five hundred forty-six billion, six hundred forty-two million, four hundred three thousand, four hundred fifty-six".