81827576145 has 48 divisors (see below), whose sum is σ = 162134369280. Its totient is φ = 37398160512.

The previous prime is 81827576081. The next prime is 81827576147. The reversal of 81827576145 is 54167572818.

81827576145 is a `hidden beast` number, since 8 + 1 + 8 + 27 + 576 + 1 + 45 = 666.

It is not a de Polignac number, because 81827576145 - 2⁶ = 81827576081 is a prime.

It is a super-2 number, since 2×81827576145² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 81827576091 and 81827576100.

It is not an unprimeable number, because it can be changed into a prime (81827576147) 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, 1433287 + ... + 1489283.

It is an arithmetic number, because the mean of its divisors is an integer number (3377799360).

Almost surely, 2^81827576145 is an apocalyptic number.

It is an amenable number.

81827576145 is a deficient number, since it is larger than the sum of its proper divisors (80306793135).

81827576145 is a wasteful number, since it uses less digits than its factorization.

81827576145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60654 (or 60651 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 81827576145 in words is "eighty-one billion, eight hundred twenty-seven million, five hundred seventy-six thousand, one hundred forty-five".