214074321556480 has 352 divisors, whose sum is σ = 662319430698240. Its totient is φ = 64423616839680.

The previous prime is 214074321556441. The next prime is 214074321556481. The reversal of 214074321556480 is 84655123470412.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214074321556481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2070804 + ... + 20795116.

Almost surely, 2^{214074321556480} is an apocalyptic number.

214074321556480 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 214074321556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331159715349120).

214074321556480 is an abundant number, since it is smaller than the sum of its proper divisors (448245109141760).

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

214074321556480 is a wasteful number, since it uses less digits than its factorization.

214074321556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18724385 (or 18724367 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 214074321556480 in words is "two hundred fourteen trillion, seventy-four billion, three hundred twenty-one million, five hundred fifty-six thousand, four hundred eighty".