83484012096 has 105 divisors (see below), whose sum is σ = 247534448161. Its totient is φ = 27821069568.

The previous prime is 83484012043. The next prime is 83484012103. The reversal of 83484012096 is 69021048438.

It is a happy number.

The square root of 83484012096 is 288936.

It is a perfect power (a square), and thus also a powerful number.

83484012096 is a `hidden beast` number, since 8 + 34 + 8 + 401 + 209 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70013160000 + 13470852096 = 264600^2 + 116064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20801386 + ... + 20805398.

Almost surely, 2^83484012096 is an apocalyptic number.

83484012096 is the 288936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83484012096

83484012096 is an abundant number, since it is smaller than the sum of its proper divisors (164050436065).

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

83484012096 is an frugal number, since it uses more digits than its factorization.

83484012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 83484012096 in words is "eighty-three billion, four hundred eighty-four million, twelve thousand, ninety-six".