65346696900 has 81 divisors (see below), whose sum is σ = 204849631623. Its totient is φ = 17423740800.

The previous prime is 65346696887. The next prime is 65346696907. The reversal of 65346696900 is 969664356.

It is a happy number.

The square root of 65346696900 is 255630.

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

65346696900 is a `hidden beast` number, since 6 + 5 + 3 + 466 + 96 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1612664964 + 63734031936 = 40158^2 + 252456^2 .

It is a super-2 number, since 2×65346696900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65346696907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7664640 + ... + 7673160.

Almost surely, 2^65346696900 is an apocalyptic number.

65346696900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

65346696900 is the 255630-th square number.

It is an amenable number.

65346696900 is an abundant number, since it is smaller than the sum of its proper divisors (139502934723).

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

65346696900 is an equidigital number, since it uses as much as digits as its factorization.

65346696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17062 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 65346696900 in words is "sixty-five billion, three hundred forty-six million, six hundred ninety-six thousand, nine hundred".