68352442249 has 63 divisors (see below), whose sum is σ = 91503023457. Its totient is φ = 50899814784.

The previous prime is 68352442247. The next prime is 68352442253. The reversal of 68352442249 is 94224425386.

The square root of 68352442249 is 261443.

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

It can be written as a sum of positive squares in 10 ways, for example, as 27991632249 + 40360810000 = 167307^2 + 200900^2 .

It is not a de Polignac number, because 68352442249 - 2¹ = 68352442247 is a prime.

It is a super-2 number, since 2×68352442249² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68352442247) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4020731889 + ... + 4020731905.

Almost surely, 2^68352442249 is an apocalyptic number.

68352442249 is the 261443-rd square number.

68352442249 is the 130722-nd centered octagonal number.

It is an amenable number.

68352442249 is a deficient number, since it is larger than the sum of its proper divisors (23150581208).

68352442249 is an frugal number, since it uses more digits than its factorization.

68352442249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 37 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

Multiplying 68352442249 by its sum of digits (49), we get a square (3349269670201 = 1830101²).

68352442249 divided by its sum of digits (49) gives a square (1394947801 = 37349²).

The spelling of 68352442249 in words is "sixty-eight billion, three hundred fifty-two million, four hundred forty-two thousand, two hundred forty-nine".