107773611299649 has 243 divisors, whose sum is σ = 174230996636073. Its totient is φ = 64182010636800.

The previous prime is 107773611299647. The next prime is 107773611299663. The reversal of 107773611299649 is 946992116377701.

The square root of 107773611299649 is 10381407.

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

107773611299649 is a `hidden beast` number, since 10 + 7 + 7 + 7 + 361 + 129 + 96 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9944341506225 + 97829269793424 = 3153465^2 + 9890868^2 .

It is not a de Polignac number, because 107773611299649 - 2¹ = 107773611299647 is a prime.

It is a super-2 number, since 2×107773611299649² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107773611299647) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1517938187284 + ... + 1517938187354.

Almost surely, 2^{107773611299649} is an apocalyptic number.

107773611299649 is the 10381407-th square number.

107773611299649 is the 5190704-th centered octagonal number.

It is an amenable number.

107773611299649 is a deficient number, since it is larger than the sum of its proper divisors (66457385336424).

107773611299649 is an frugal number, since it uses more digits than its factorization.

107773611299649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 107773611299649 in words is "one hundred seven trillion, seven hundred seventy-three billion, six hundred eleven million, two hundred ninety-nine thousand, six hundred forty-nine".