214516055621600 has 144 divisors (see below), whose sum is σ = 536579317569456. Its totient is φ = 83694991872000.

The previous prime is 214516055621591. The next prime is 214516055621773. The reversal of 214516055621600 is 6126550615412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147433655 + ... + 148881545.

It is an arithmetic number, because the mean of its divisors is an integer number (3726245260899).

Almost surely, 2^{214516055621600} is an apocalyptic number.

214516055621600 is a gapful number since it is divisible by the number (20) 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 214516055621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268289658784728).

214516055621600 is an abundant number, since it is smaller than the sum of its proper divisors (322063261947856).

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

214516055621600 is a wasteful number, since it uses less digits than its factorization.

214516055621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452469 (or 1452456 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 214516055621600 in words is "two hundred fourteen trillion, five hundred sixteen billion, fifty-five million, six hundred twenty-one thousand, six hundred".