78138544583187 has 48 divisors (see below), whose sum is σ = 124712281774080. Its totient is φ = 46747378080000.

The previous prime is 78138544583123. The next prime is 78138544583201.

78138544583187 is a `hidden beast` number, since 7 + 8 + 1 + 38 + 5 + 4 + 4 + 583 + 1 + 8 + 7 = 666.

78138544583187 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 78138544583187 - 2⁶ = 78138544583123 is a prime.

It is a super-2 number, since 2×78138544583187² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78138544584187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36106123 + ... + 38209019.

It is an arithmetic number, because the mean of its divisors is an integer number (2598172536960).

Almost surely, 2^{78138544583187} is an apocalyptic number.

78138544583187 is a deficient number, since it is larger than the sum of its proper divisors (46573737190893).

78138544583187 is a wasteful number, since it uses less digits than its factorization.

78138544583187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107744 (or 2107741 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 78138544583187 in words is "seventy-eight trillion, one hundred thirty-eight billion, five hundred forty-four million, five hundred eighty-three thousand, one hundred eighty-seven".