86006877145344 has 144 divisors (see below), whose sum is σ = 254343124943040. Its totient is φ = 28668321239040.

The previous prime is 86006877145333. The next prime is 86006877145351. The reversal of 86006877145344 is 44354177860068.

86006877145344 is a `hidden beast` number, since 8 + 6 + 0 + 0 + 6 + 87 + 7 + 14 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390189724 + ... + 390410084.

Almost surely, 2^{86006877145344} is an apocalyptic number.

It is an amenable number.

86006877145344 is an abundant number, since it is smaller than the sum of its proper divisors (168336247797696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86006877145344 is a wasteful number, since it uses less digits than its factorization.

86006877145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276853 (or 276833 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 86006877145344 in words is "eighty-six trillion, six billion, eight hundred seventy-seven million, one hundred forty-five thousand, three hundred forty-four".