214450642152 has 160 divisors (see below), whose sum is σ = 637129686600. Its totient is φ = 67158429696.

The previous prime is 214450642123. The next prime is 214450642171. The reversal of 214450642152 is 251246054412.

214450642152 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 5 + 0 + 642 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204660331236 + 9790310916 = 452394^2 + 98946^2 .

It is a super-2 number, since 2×214450642152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6250998 + ... + 6285210.

Almost surely, 2^214450642152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214450642152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318564843300).

214450642152 is an abundant number, since it is smaller than the sum of its proper divisors (422679044448).

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

214450642152 is a wasteful number, since it uses less digits than its factorization.

214450642152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34817 (or 34804 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 214450642152 its reverse (251246054412), we get a palindrome (465696696564).

The spelling of 214450642152 in words is "two hundred fourteen billion, four hundred fifty million, six hundred forty-two thousand, one hundred fifty-two".