77314123194025 has 81 divisors (see below), whose sum is σ = 98675091131877. Its totient is φ = 60092413012800.

The previous prime is 77314123194023. The next prime is 77314123194037. The reversal of 77314123194025 is 52049132141377.

The square root of 77314123194025 is 8792845.

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 35612285565609 + 41701837628416 = 5967603^2 + 6457696^2 .

It is not a de Polignac number, because 77314123194025 - 2¹ = 77314123194023 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 77314123194025.

It is not an unprimeable number, because it can be changed into a prime (77314123194023) 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, 340590850962 + ... + 340590851188.

Almost surely, 2^{77314123194025} is an apocalyptic number.

77314123194025 is the 8792845-th square number.

77314123194025 is the 4396423-rd centered octagonal number.

It is an amenable number.

77314123194025 is a deficient number, since it is larger than the sum of its proper divisors (21360967937852).

77314123194025 is an frugal number, since it uses more digits than its factorization.

77314123194025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 77314123194025 in words is "seventy-seven trillion, three hundred fourteen billion, one hundred twenty-three million, one hundred ninety-four thousand, twenty-five".