8212364496 has 200 divisors, whose sum is σ = 27408346944. Its totient is φ = 2325335040.

The previous prime is 8212364483. The next prime is 8212364519. The reversal of 8212364496 is 6944632128.

8212364496 is a `hidden beast` number, since 82 + 1 + 23 + 64 + 496 = 666.

It is a super-2 number, since 2×8212364496² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1021131 + ... + 1029141.

Almost surely, 2^8212364496 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 8212364496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704173472).

8212364496 is an abundant number, since it is smaller than the sum of its proper divisors (19195982448).

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

8212364496 is a wasteful number, since it uses less digits than its factorization.

8212364496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8136 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 8212364496 is about 90622.0971728198. The cubic root of 8212364496 is about 2017.5427179634.

The spelling of 8212364496 in words is "eight billion, two hundred twelve million, three hundred sixty-four thousand, four hundred ninety-six".