212454025416 has 128 divisors (see below), whose sum is σ = 592431840000. Its totient is φ = 70544770560.

The previous prime is 212454025403. The next prime is 212454025417. The reversal of 212454025416 is 614520454212.

212454025416 is a `hidden beast` number, since 2 + 1 + 245 + 402 + 5 + 4 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212454025417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77849140 + ... + 77851868.

It is an arithmetic number, because the mean of its divisors is an integer number (4628373750).

Almost surely, 2^212454025416 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 212454025416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296215920000).

212454025416 is an abundant number, since it is smaller than the sum of its proper divisors (379977814584).

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

212454025416 is a wasteful number, since it uses less digits than its factorization.

212454025416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3994 counting only the distinct ones).

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

Adding to 212454025416 its reverse (614520454212), we get a palindrome (826974479628).

The spelling of 212454025416 in words is "two hundred twelve billion, four hundred fifty-four million, twenty-five thousand, four hundred sixteen".