65694816100 has 135 divisors (see below), whose sum is σ = 152626818281. Its totient is φ = 24544245600.

The previous prime is 65694816097. The next prime is 65694816101. The reversal of 65694816100 is 161849656.

The square root of 65694816100 is 256310.

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

It can be written as a sum of positive squares in only one way, i.e., 23650133796 + 42044682304 = 153786^2 + 205048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65694816101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 925279065 + ... + 925279135.

Almost surely, 2^65694816100 is an apocalyptic number.

65694816100 is the 256310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65694816100

65694816100 is an abundant number, since it is smaller than the sum of its proper divisors (86932002181).

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

65694816100 is an frugal number, since it uses more digits than its factorization.

65694816100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 65694816100 in words is "sixty-five billion, six hundred ninety-four million, eight hundred sixteen thousand, one hundred".