16382934387456 has 864 divisors, whose sum is σ = 55621963111680. Its totient is φ = 4242191450112.

The previous prime is 16382934387401. The next prime is 16382934387551. The reversal of 16382934387456 is 65478343928361.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13012655755 + ... + 13012657013.

It is an arithmetic number, because the mean of its divisors is an integer number (64377272120).

Almost surely, 2^{16382934387456} is an apocalyptic number.

16382934387456 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 16382934387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27810981555840).

16382934387456 is an abundant number, since it is smaller than the sum of its proper divisors (39239028724224).

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

16382934387456 is a wasteful number, since it uses less digits than its factorization.

16382934387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1748 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 69.

The spelling of 16382934387456 in words is "sixteen trillion, three hundred eighty-two billion, nine hundred thirty-four million, three hundred eighty-seven thousand, four hundred fifty-six".