214225233516 has 192 divisors, whose sum is σ = 642942720000. Its totient is φ = 60420038400.

The previous prime is 214225233487. The next prime is 214225233527. The reversal of 214225233516 is 615332522412.

214225233516 is a `hidden beast` number, since 21 + 42 + 2 + 52 + 33 + 516 = 666.

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 63 ways as a sum of consecutive naturals, for example, 26644225 + ... + 26652263.

It is an arithmetic number, because the mean of its divisors is an integer number (3348660000).

Almost surely, 2^214225233516 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 214225233516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321471360000).

214225233516 is an abundant number, since it is smaller than the sum of its proper divisors (428717486484).

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

214225233516 is a wasteful number, since it uses less digits than its factorization.

214225233516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8501 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 214225233516 its reverse (615332522412), we get a palindrome (829557755928).

The spelling of 214225233516 in words is "two hundred fourteen billion, two hundred twenty-five million, two hundred thirty-three thousand, five hundred sixteen".