16281364453200 has 720 divisors, whose sum is σ = 71494091275776. Its totient is φ = 3332642227200.

The previous prime is 16281364453117. The next prime is 16281364453223. The reversal of 16281364453200 is 235446318261.

16281364453200 is a `hidden beast` number, since 1 + 6 + 2 + 81 + 36 + 4 + 4 + 532 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18134079 + ... + 19010721.

Almost surely, 2^{16281364453200} is an apocalyptic number.

16281364453200 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 16281364453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35747045637888).

16281364453200 is an abundant number, since it is smaller than the sum of its proper divisors (55212726822576).

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

16281364453200 is a wasteful number, since it uses less digits than its factorization.

16281364453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876752 (or 876738 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 16281364453200 in words is "sixteen trillion, two hundred eighty-one billion, three hundred sixty-four million, four hundred fifty-three thousand, two hundred".