214645064712000 has 448 divisors, whose sum is σ = 763600796335104. Its totient is φ = 52813353369600.

The previous prime is 214645064711983. The next prime is 214645064712037. The reversal of 214645064712000 is 217460546412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743351652 + ... + 743640348.

It is an arithmetic number, because the mean of its divisors is an integer number (1704466063248).

Almost surely, 2^{214645064712000} is an apocalyptic number.

214645064712000 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 214645064712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381800398167552).

214645064712000 is an abundant number, since it is smaller than the sum of its proper divisors (548955731623104).

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

214645064712000 is a wasteful number, since it uses less digits than its factorization.

214645064712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291123 (or 291103 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 214645064712000 in words is "two hundred fourteen trillion, six hundred forty-five billion, sixty-four million, seven hundred twelve thousand".