83487324183872 has 448 divisors, whose sum is σ = 207765505728000. Its totient is φ = 33170181488640.

The previous prime is 83487324183661. The next prime is 83487324183889. The reversal of 83487324183872 is 27838142378438.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×83487324183872³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5012138168 + ... + 5012154824.

Almost surely, 2^{83487324183872} 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 83487324183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103882752864000).

83487324183872 is an abundant number, since it is smaller than the sum of its proper divisors (124278181544128).

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

83487324183872 is a wasteful number, since it uses less digits than its factorization.

83487324183872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16967 (or 16943 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 68.

The spelling of 83487324183872 in words is "eighty-three trillion, four hundred eighty-seven billion, three hundred twenty-four million, one hundred eighty-three thousand, eight hundred seventy-two".