16582927454964 has 240 divisors, whose sum is σ = 48814916008320. Its totient is φ = 4870639952640.

The previous prime is 16582927454957. The next prime is 16582927454993. The reversal of 16582927454964 is 46945472928561.

16582927454964 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 2 + 9 + 2 + 74 + 549 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16582927454892 and 16582927454901.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 47391802 + ... + 47740430.

It is an arithmetic number, because the mean of its divisors is an integer number (203395483368).

Almost surely, 2^{16582927454964} 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 16582927454964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407458004160).

16582927454964 is an abundant number, since it is smaller than the sum of its proper divisors (32231988553356).

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

16582927454964 is a wasteful number, since it uses less digits than its factorization.

16582927454964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349172 (or 349161 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 16582927454964 in words is "sixteen trillion, five hundred eighty-two billion, nine hundred twenty-seven million, four hundred fifty-four thousand, nine hundred sixty-four".