83734571232 has 192 divisors, whose sum is σ = 272082888000. Its totient is φ = 24875956224.

The previous prime is 83734571159. The next prime is 83734571257. The reversal of 83734571232 is 23217543738.

It is a happy number.

83734571232 is a `hidden beast` number, since 8 + 3 + 7 + 345 + 71 + 232 = 666.

It is a super-2 number, since 2×83734571232² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197194 + ... + 454262.

It is an arithmetic number, because the mean of its divisors is an integer number (1417098375).

Almost surely, 2^83734571232 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 83734571232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136041444000).

83734571232 is an abundant number, since it is smaller than the sum of its proper divisors (188348316768).

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

83734571232 is a wasteful number, since it uses less digits than its factorization.

83734571232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257130 (or 257116 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 83734571232 in words is "eighty-three billion, seven hundred thirty-four million, five hundred seventy-one thousand, two hundred thirty-two".