216171076968 has 800 divisors, whose sum is σ = 816989405760. Its totient is φ = 52774364160.

The previous prime is 216171076963. The next prime is 216171076987. The reversal of 216171076968 is 869670171612.

216171076968 is a `hidden beast` number, since 2 + 1 + 617 + 10 + 7 + 6 + 9 + 6 + 8 = 666.

216171076968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (216171076963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 290943205 + ... + 290943947.

Almost surely, 2^216171076968 is an apocalyptic number.

216171076968 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 216171076968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408494702880).

216171076968 is an abundant number, since it is smaller than the sum of its proper divisors (600818328792).

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

216171076968 is a wasteful number, since it uses less digits than its factorization.

216171076968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 216171076968 in words is "two hundred sixteen billion, one hundred seventy-one million, seventy-six thousand, nine hundred sixty-eight".