86477330961 has 36 divisors (see below), whose sum is σ = 147144816000. Its totient is φ = 48790083888.

The previous prime is 86477330959. The next prime is 86477330963. The reversal of 86477330961 is 16903377468.

86477330961 is a `hidden beast` number, since 86 + 477 + 3 + 3 + 0 + 96 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (86477330959) and next prime (86477330963).

It is not a de Polignac number, because 86477330961 - 2¹ = 86477330959 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86477330898 and 86477330907.

It is not an unprimeable number, because it can be changed into a prime (86477330963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1206261 + ... + 1275938.

It is an arithmetic number, because the mean of its divisors is an integer number (4087356000).

Almost surely, 2^86477330961 is an apocalyptic number.

It is an amenable number.

86477330961 is a deficient number, since it is larger than the sum of its proper divisors (60667485039).

86477330961 is a wasteful number, since it uses less digits than its factorization.

86477330961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482298 (or 2482288 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 86477330961 in words is "eighty-six billion, four hundred seventy-seven million, three hundred thirty thousand, nine hundred sixty-one".