214615042152 has 128 divisors (see below), whose sum is σ = 620421120000. Its totient is φ = 60595831296.

The previous prime is 214615042139. The next prime is 214615042153. The reversal of 214615042152 is 251240516412.

It is a happy number.

It is a super-2 number, since 2×214615042152² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214615042153) 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 31 ways as a sum of consecutive naturals, for example, 40651849 + ... + 40657127.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040000).

Almost surely, 2^214615042152 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 214615042152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560000).

214615042152 is an abundant number, since it is smaller than the sum of its proper divisors (405806077848).

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

214615042152 is a wasteful number, since it uses less digits than its factorization.

214615042152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 214615042152 its reverse (251240516412), we get a palindrome (465855558564).

The spelling of 214615042152 in words is "two hundred fourteen billion, six hundred fifteen million, forty-two thousand, one hundred fifty-two".