214163864460 has 1536 divisors, whose sum is σ = 929901772800. Its totient is φ = 39594147840.

The previous prime is 214163864459. The next prime is 214163864489. The reversal of 214163864460 is 64468361412.

214163864460 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 638 + 6 + 4 + 4 + 6 + 0 = 666.

It is a super-3 number, since 3×214163864460³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1634838595 + ... + 1634838725.

It is an arithmetic number, because the mean of its divisors is an integer number (605404800).

Almost surely, 2^214163864460 is an apocalyptic number.

214163864460 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 214163864460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464950886400).

214163864460 is an abundant number, since it is smaller than the sum of its proper divisors (715737908340).

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

214163864460 is a wasteful number, since it uses less digits than its factorization.

214163864460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 214163864460 in words is "two hundred fourteen billion, one hundred sixty-three million, eight hundred sixty-four thousand, four hundred sixty".