8414212968 has 288 divisors, whose sum is σ = 28233878400. Its totient is φ = 2249339904.

The previous prime is 8414212903. The next prime is 8414212969. The reversal of 8414212968 is 8692124148.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414212969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14333971 + ... + 14334557.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 2^8414212968 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 8414212968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

8414212968 is an abundant number, since it is smaller than the sum of its proper divisors (19819665432).

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

8414212968 is a wasteful number, since it uses less digits than its factorization.

8414212968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8414212968 is about 91729.0192251067. The cubic root of 8414212968 is about 2033.9385762408.

The spelling of 8414212968 in words is "eight billion, four hundred fourteen million, two hundred twelve thousand, nine hundred sixty-eight".