77256561032145 has 48 divisors (see below), whose sum is σ = 146518620947712. Its totient is φ = 37346575956480.

The previous prime is 77256561032113. The next prime is 77256561032179. The reversal of 77256561032145 is 54123016565277.

It is a happy number.

77256561032145 is a `hidden beast` number, since 7 + 7 + 2 + 5 + 6 + 5 + 610 + 3 + 2 + 14 + 5 = 666.

It is not a de Polignac number, because 77256561032145 - 2⁵ = 77256561032113 is a prime.

It is a super-3 number, since 3×77256561032145³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 77256561032091 and 77256561032100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231396777 + ... + 231730406.

It is an arithmetic number, because the mean of its divisors is an integer number (3052471269744).

Almost surely, 2^{77256561032145} is an apocalyptic number.

It is an amenable number.

77256561032145 is a deficient number, since it is larger than the sum of its proper divisors (69262059915567).

77256561032145 is a wasteful number, since it uses less digits than its factorization.

77256561032145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463127542 (or 463127539 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 77256561032145 in words is "seventy-seven trillion, two hundred fifty-six billion, five hundred sixty-one million, thirty-two thousand, one hundred forty-five".