84416964096 has 160 divisors (see below), whose sum is σ = 228773179008. Its totient is φ = 27655372800.

The previous prime is 84416964089. The next prime is 84416964143. The reversal of 84416964096 is 69046961448.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70288296 + ... + 70289496.

Almost surely, 2^84416964096 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 84416964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114386589504).

84416964096 is an abundant number, since it is smaller than the sum of its proper divisors (144356214912).

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

84416964096 is a wasteful number, since it uses less digits than its factorization.

84416964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 84416964096 in words is "eighty-four billion, four hundred sixteen million, nine hundred sixty-four thousand, ninety-six".