77173456401 has 20 divisors (see below), whose sum is σ = 119259112500. Its totient is φ = 49674866976.

The previous prime is 77173456363. The next prime is 77173456421. The reversal of 77173456401 is 10465437177.

77173456401 is a `hidden beast` number, since 77 + 17 + 3 + 4 + 564 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41503468176 + 35669988225 = 203724^2 + 188865^2 .

It is not a de Polignac number, because 77173456401 - 2⁷ = 77173456273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (77173456421) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16424526 + ... + 16429223.

It is an arithmetic number, because the mean of its divisors is an integer number (5962955625).

Almost surely, 2^77173456401 is an apocalyptic number.

It is an amenable number.

77173456401 is a deficient number, since it is larger than the sum of its proper divisors (42085656099).

77173456401 is a wasteful number, since it uses less digits than its factorization.

77173456401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32853790 (or 32853781 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 77173456401 in words is "seventy-seven billion, one hundred seventy-three million, four hundred fifty-six thousand, four hundred one".