68718952449 has 189 divisors, whose sum is σ = 128249287443. Its totient is φ = 36691631424.

The previous prime is 68718952447. The next prime is 68718952453. The reversal of 68718952449 is 94425981786.

The square root of 68718952449 is 262143.

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

68718952449 is a `hidden beast` number, since 6 + 8 + 7 + 189 + 5 + 2 + 449 = 666.

68718952449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39008225025 + 29710727424 = 197505^2 + 172368^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 68718952449 - 2¹ = 68718952447 is a prime.

It is a super-3 number, since 3×68718952449³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (34836480) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (68718952447) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 941355477 + ... + 941355549.

It is a Proth number, since it is equal to 131071 ⋅ 2¹⁹ + 1 and 131071 < 2¹⁹.

Almost surely, 2^68718952449 is an apocalyptic number.

68718952449 is the 262143-rd square number.

68718952449 is the 131072-nd centered octagonal number.

It is an amenable number.

68718952449 is a deficient number, since it is larger than the sum of its proper divisors (59530334994).

68718952449 is an frugal number, since it uses more digits than its factorization.

68718952449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 102 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 68718952449 in words is "sixty-eight billion, seven hundred eighteen million, nine hundred fifty-two thousand, four hundred forty-nine".