84556429821864 has 384 divisors, whose sum is σ = 320993445628800. Its totient is φ = 20273269524480.

The previous prime is 84556429821827. The next prime is 84556429821923. The reversal of 84556429821864 is 46812892465548.

84556429821864 is a `hidden beast` number, since 8 + 4 + 5 + 5 + 64 + 298 + 218 + 64 = 666.

84556429821864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84556429821792 and 84556429821801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26420337 + ... + 29447360.

It is an arithmetic number, because the mean of its divisors is an integer number (835920431325).

Almost surely, 2^{84556429821864} is an apocalyptic number.

84556429821864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84556429821864 is an abundant number, since it is smaller than the sum of its proper divisors (236437015806936).

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

84556429821864 is a wasteful number, since it uses less digits than its factorization.

84556429821864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55867750 (or 55867733 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 84556429821864 in words is "eighty-four trillion, five hundred fifty-six billion, four hundred twenty-nine million, eight hundred twenty-one thousand, eight hundred sixty-four".