87285904461 has 18 divisors (see below), whose sum is σ = 146664071502. Its totient is φ = 49877659440.

The previous prime is 87285904451. The next prime is 87285904469. The reversal of 87285904461 is 16440958278.

It is a happy number.

87285904461 is a `hidden beast` number, since 8 + 7 + 2 + 8 + 590 + 4 + 46 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78596122500 + 8689781961 = 280350^2 + 93219^2 .

It is not a de Polignac number, because 87285904461 - 2¹⁷ = 87285773389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 87285904398 and 87285904407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87285904469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 98963170 + ... + 98964051.

Almost surely, 2^87285904461 is an apocalyptic number.

It is an amenable number.

87285904461 is a deficient number, since it is larger than the sum of its proper divisors (59378167041).

87285904461 is a wasteful number, since it uses less digits than its factorization.

87285904461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197927241 (or 197927231 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 87285904461 in words is "eighty-seven billion, two hundred eighty-five million, nine hundred four thousand, four hundred sixty-one".