16382451456 has 486 divisors, whose sum is σ = 57152067336. Its totient is φ = 4499712000.

The previous prime is 16382451413. The next prime is 16382451473. The reversal of 16382451456 is 65415428361.

16382451456 is a `hidden beast` number, since 1 + 6 + 3 + 82 + 4 + 514 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 108492981 + ... + 108493131.

Almost surely, 2^16382451456 is an apocalyptic number.

16382451456 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 16382451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576033668).

16382451456 is an abundant number, since it is smaller than the sum of its proper divisors (40769615880).

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

16382451456 is a wasteful number, since it uses less digits than its factorization.

16382451456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 194 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 16382451456 in words is "sixteen billion, three hundred eighty-two million, four hundred fifty-one thousand, four hundred fifty-six".