67914444816 has 315 divisors, whose sum is σ = 209868489711. Its totient is φ = 21277795392.

The previous prime is 67914444779. The next prime is 67914444821. The reversal of 67914444816 is 61844441976.

The square root of 67914444816 is 260604.

It is a perfect power (a square), and thus also a powerful number.

67914444816 is a `hidden beast` number, since 67 + 91 + 44 + 448 + 16 = 666.

It is a super-2 number, since 2×67914444816² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 534759345 + ... + 534759471.

Almost surely, 2^67914444816 is an apocalyptic number.

67914444816 is the 260604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67914444816

67914444816 is an abundant number, since it is smaller than the sum of its proper divisors (141954044895).

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

67914444816 is an equidigital number, since it uses as much as digits as its factorization.

67914444816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 151 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 67914444816 in words is "sixty-seven billion, nine hundred fourteen million, four hundred forty-four thousand, eight hundred sixteen".