214465564412 has 96 divisors (see below), whose sum is σ = 442680396480. Its totient is φ = 89829457920.

The previous prime is 214465564393. The next prime is 214465564451.

214465564412 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×214465564412³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7466414 + ... + 7495082.

It is an arithmetic number, because the mean of its divisors is an integer number (4611254130).

Almost surely, 2^214465564412 is an apocalyptic number.

214465564412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214465564412 is an abundant number, since it is smaller than the sum of its proper divisors (228214832068).

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

214465564412 is a wasteful number, since it uses less digits than its factorization.

214465564412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28911 (or 28909 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

It can be divided in two parts, 214465 and 564412, that added together give a palindrome (778877).

The spelling of 214465564412 in words is "two hundred fourteen billion, four hundred sixty-five million, five hundred sixty-four thousand, four hundred twelve".