214544020445412 has 48 divisors (see below), whose sum is σ = 572605959754752. Its totient is φ = 61245944566560.

The previous prime is 214544020445411. The next prime is 214544020445431.

214544020445412 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×214544020445412³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (214544020445411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090463328 + ... + 1090660055.

It is an arithmetic number, because the mean of its divisors is an integer number (11929290828224).

Almost surely, 2^{214544020445412} is an apocalyptic number.

It is an amenable number.

214544020445412 is an abundant number, since it is smaller than the sum of its proper divisors (358061939309340).

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

214544020445412 is a wasteful number, since it uses less digits than its factorization.

214544020445412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181124568 (or 2181124566 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 42.

The spelling of 214544020445412 in words is "two hundred fourteen trillion, five hundred forty-four billion, twenty million, four hundred forty-five thousand, four hundred twelve".