413212226616 has 72 divisors (see below), whose sum is σ = 1301829347520. Its totient is φ = 118060635168.

The previous prime is 413212226591. The next prime is 413212226627. The reversal of 413212226616 is 616622212314.

413212226616 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 12 + 2 + 26 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×413212226616² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 58558296 + ... + 58565351.

It is an arithmetic number, because the mean of its divisors is an integer number (18080963160).

Almost surely, 2^413212226616 is an apocalyptic number.

It is an amenable number.

413212226616 is an abundant number, since it is smaller than the sum of its proper divisors (888617120904).

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

413212226616 is a wasteful number, since it uses less digits than its factorization.

413212226616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117123673 (or 117123659 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 413212226616 in words is "four hundred thirteen billion, two hundred twelve million, two hundred twenty-six thousand, six hundred sixteen".