77006052142147 has 16 divisors (see below), whose sum is σ = 78486610590720. Its totient is φ = 75539200568832.

The previous prime is 77006052142091. The next prime is 77006052142157. The reversal of 77006052142147 is 74124125060077.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77006052142147 is a prime.

It is a super-3 number, since 3×77006052142147³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77006052142097 and 77006052142106.

It is not an unprimeable number, because it can be changed into a prime (77006052142157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555959233 + ... + 556097725.

It is an arithmetic number, because the mean of its divisors is an integer number (4905413161920).

Almost surely, 2^{77006052142147} is an apocalyptic number.

77006052142147 is a deficient number, since it is larger than the sum of its proper divisors (1480558448573).

77006052142147 is a wasteful number, since it uses less digits than its factorization.

77006052142147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187902.

The product of its (nonzero) digits is 658560, while the sum is 46.

The spelling of 77006052142147 in words is "seventy-seven trillion, six billion, fifty-two million, one hundred forty-two thousand, one hundred forty-seven".