16456312400 has 240 divisors, whose sum is σ = 44578837248. Its totient is φ = 5785344000.

The previous prime is 16456312399. The next prime is 16456312417. The reversal of 16456312400 is 421365461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44118614 + ... + 44118986.

Almost surely, 2^16456312400 is an apocalyptic number.

16456312400 is a gapful number since it is divisible by the number (10) 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 16456312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22289418624).

16456312400 is an abundant number, since it is smaller than the sum of its proper divisors (28122524848).

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

16456312400 is a wasteful number, since it uses less digits than its factorization.

16456312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 16456312400 its reverse (421365461), we get a palindrome (16877677861).

The spelling of 16456312400 in words is "sixteen billion, four hundred fifty-six million, three hundred twelve thousand, four hundred".