83634326416 has 45 divisors (see below), whose sum is σ = 163313220369. Its totient is φ = 41491528512.

The previous prime is 83634326393. The next prime is 83634326417. The reversal of 83634326416 is 61462343638.

It is a happy number.

The square root of 83634326416 is 289196.

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., 81944787600 + 1689538816 = 286260^2 + 41104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83634326417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227886265 + ... + 227886631.

Almost surely, 2^83634326416 is an apocalyptic number.

83634326416 is the 289196-th square number.

It is an amenable number.

83634326416 is a deficient number, since it is larger than the sum of its proper divisors (79678893953).

83634326416 is an frugal number, since it uses more digits than its factorization.

83634326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 566 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 46.

The spelling of 83634326416 in words is "eighty-three billion, six hundred thirty-four million, three hundred twenty-six thousand, four hundred sixteen".