83922552252 has 540 divisors, whose sum is σ = 284826788400. Its totient is φ = 21522140640.

The previous prime is 83922552239. The next prime is 83922552253. The reversal of 83922552252 is 25225522938.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

83922552252 is a `hidden beast` number, since 8 + 3 + 92 + 2 + 552 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83922552198 and 83922552207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83922552253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1062310749 + ... + 1062310827.

Almost surely, 2^83922552252 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 83922552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142413394200).

83922552252 is an abundant number, since it is smaller than the sum of its proper divisors (200904236148).

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

83922552252 is a wasteful number, since it uses less digits than its factorization.

83922552252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 102 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 83922552252 in words is "eighty-three billion, nine hundred twenty-two million, five hundred fifty-two thousand, two hundred fifty-two".