84101121585864 has 32 divisors (see below), whose sum is σ = 233614226628000. Its totient is φ = 28033707195216.

The previous prime is 84101121585863. The next prime is 84101121585911. The reversal of 84101121585864 is 46858512110148.

84101121585864 is a `hidden beast` number, since 8 + 4 + 1 + 0 + 1 + 1 + 2 + 1 + 58 + 586 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84101121585864.

It is not an unprimeable number, because it can be changed into a prime (84101121585863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194678521974 + ... + 194678522405.

It is an arithmetic number, because the mean of its divisors is an integer number (7300444582125).

Almost surely, 2^{84101121585864} is an apocalyptic number.

It is an amenable number.

84101121585864 is an abundant number, since it is smaller than the sum of its proper divisors (149513105042136).

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

84101121585864 is a wasteful number, since it uses less digits than its factorization.

84101121585864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389357044394 (or 389357044384 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 84101121585864 in words is "eighty-four trillion, one hundred one billion, one hundred twenty-one million, five hundred eighty-five thousand, eight hundred sixty-four".