93778650289 has 9 divisors (see below), whose sum is σ = 94145413089. Its totient is φ = 93413314320.

The previous prime is 93778650271. The next prime is 93778650293. The reversal of 93778650289 is 98205687739.

The square root of 93778650289 is 306233.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3413480625 + 90365169664 = 58425^2 + 300608^2 .

It is a de Polignac number, because none of the positive numbers 2^k-93778650289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93778650289.

It is not an unprimeable number, because it can be changed into a prime (93778650209) 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, 114224499 + ... + 114225319.

Almost surely, 2^93778650289 is an apocalyptic number.

93778650289 is the 306233-rd square number.

93778650289 is the 153117-th centered octagonal number.

It is an amenable number.

93778650289 is a deficient number, since it is larger than the sum of its proper divisors (366762800).

93778650289 is an frugal number, since it uses more digits than its factorization.

93778650289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

Multiplying 93778650289 by its sum of digits (64), we get a square (6001833618496 = 2449864²).

The spelling of 93778650289 in words is "ninety-three billion, seven hundred seventy-eight million, six hundred fifty thousand, two hundred eighty-nine".