10616623369 has 81 divisors (see below), whose sum is σ = 13549808181. Its totient is φ = 8308903680.

The previous prime is 10616623361. The next prime is 10616623373. The reversal of 10616623369 is 96332661601.

The square root of 10616623369 is 103037.

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 1049436025 + 9567187344 = 32395^2 + 97812^2 .

It is not a de Polignac number, because 10616623369 - 2³ = 10616623361 is a prime.

It is a super-2 number, since 2×10616623369² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10616623361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 366090447 + ... + 366090475.

Almost surely, 2^10616623369 is an apocalyptic number.

10616623369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10616623369 is the 103037-th square number.

10616623369 is the 51519-th centered octagonal number.

It is an amenable number.

10616623369 is a deficient number, since it is larger than the sum of its proper divisors (2933184812).

10616623369 is a wasteful number, since it uses less digits than its factorization.

10616623369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 10616623369 in words is "ten billion, six hundred sixteen million, six hundred twenty-three thousand, three hundred sixty-nine".