84906383769 has 81 divisors (see below), whose sum is σ = 132698149311. Its totient is φ = 52309794240.

The previous prime is 84906383761. The next prime is 84906383777. The reversal of 84906383769 is 96738360948.

The square root of 84906383769 is 291387.

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

84906383769 is a `hidden beast` number, since 8 + 490 + 6 + 3 + 83 + 7 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (84906383761) and next prime (84906383777).

It can be written as a sum of positive squares in only one way, i.e., 4091265369 + 80815118400 = 63963^2 + 284280^2 .

It is not a de Polignac number, because 84906383769 - 2³ = 84906383761 is a prime.

It is a super-2 number, since 2×84906383769² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84906383761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 824333772 + ... + 824333874.

Almost surely, 2^84906383769 is an apocalyptic number.

84906383769 is the 291387-th square number.

84906383769 is the 145694-th centered octagonal number.

It is an amenable number.

84906383769 is a deficient number, since it is larger than the sum of its proper divisors (47791765542).

84906383769 is a wasteful number, since it uses less digits than its factorization.

84906383769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 84906383769 in words is "eighty-four billion, nine hundred six million, three hundred eighty-three thousand, seven hundred sixty-nine".