84549117312 has 192 divisors, whose sum is σ = 268618109760. Its totient is φ = 25311943680.

The previous prime is 84549117307. The next prime is 84549117343. The reversal of 84549117312 is 21371194548.

84549117312 is a `hidden beast` number, since 84 + 5 + 491 + 1 + 73 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011583 + ... + 1091969.

It is an arithmetic number, because the mean of its divisors is an integer number (1399052655).

Almost surely, 2^84549117312 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 84549117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134309054880).

84549117312 is an abundant number, since it is smaller than the sum of its proper divisors (184068992448).

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

84549117312 is a wasteful number, since it uses less digits than its factorization.

84549117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80501 (or 80486 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 84549117312 in words is "eighty-four billion, five hundred forty-nine million, one hundred seventeen thousand, three hundred twelve".