84146489856 has 1080 divisors, whose sum is σ = 310736986560. Its totient is φ = 21824225280.

The previous prime is 84146489803. The next prime is 84146489881. The reversal of 84146489856 is 65898464148.

84146489856 is a `hidden beast` number, since 8 + 4 + 146 + 489 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84146489793 and 84146489802.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1790350825 + ... + 1790350871.

It is an arithmetic number, because the mean of its divisors is an integer number (287719432).

Almost surely, 2^84146489856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84146489856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155368493280).

84146489856 is an abundant number, since it is smaller than the sum of its proper divisors (226590496704).

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

84146489856 is a wasteful number, since it uses less digits than its factorization.

84146489856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 95 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 84146489856 in words is "eighty-four billion, one hundred forty-six million, four hundred eighty-nine thousand, eight hundred fifty-six".