2067314849856 has 189 divisors, whose sum is σ = 5982401757423. Its totient is φ = 682560011520.

The previous prime is 2067314849819. The next prime is 2067314849867. The reversal of 2067314849856 is 6589484137602.

The square root of 2067314849856 is 1437816.

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

2067314849856 is a `hidden beast` number, since 2 + 0 + 6 + 73 + 1 + 484 + 9 + 85 + 6 = 666.

It is a super-4 number, since 4×2067314849856⁴ (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2067314849793 and 2067314849802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4796553961 + ... + 4796554391.

It is a 1-persistent number, because it is pandigital, but 2⋅2067314849856 = 4134629699712 is not.

Almost surely, 2^{2067314849856} is an apocalyptic number.

2067314849856 is the 1437816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067314849856

2067314849856 is an abundant number, since it is smaller than the sum of its proper divisors (3915086907567).

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

2067314849856 is an frugal number, since it uses more digits than its factorization.

2067314849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2067314849856 in words is "two trillion, sixty-seven billion, three hundred fourteen million, eight hundred forty-nine thousand, eight hundred fifty-six".