212345464968 has 768 divisors, whose sum is σ = 769282375680. Its totient is φ = 51337027584.

The previous prime is 212345464949. The next prime is 212345465009. The reversal of 212345464968 is 869464543212.

212345464968 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 4 + 546 + 4 + 96 + 8 = 666.

It is a super-2 number, since 2×212345464968² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 952221705 + ... + 952221927.

It is an arithmetic number, because the mean of its divisors is an integer number (1001669760).

Almost surely, 2^212345464968 is an apocalyptic number.

212345464968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212345464968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384641187840).

212345464968 is an abundant number, since it is smaller than the sum of its proper divisors (556936910712).

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

212345464968 is a wasteful number, since it uses less digits than its factorization.

212345464968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 451 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 212345464968 in words is "two hundred twelve billion, three hundred forty-five million, four hundred sixty-four thousand, nine hundred sixty-eight".