83460529152 has 1056 divisors, whose sum is σ = 330470300160. Its totient is φ = 19588055040.

The previous prime is 83460529121. The next prime is 83460529169. The reversal of 83460529152 is 25192506438.

83460529152 is a `hidden beast` number, since 8 + 3 + 4 + 605 + 29 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 83460529098 and 83460529107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 765692874 + ... + 765692982.

It is an arithmetic number, because the mean of its divisors is an integer number (312945360).

Almost surely, 2^83460529152 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 83460529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165235150080).

83460529152 is an abundant number, since it is smaller than the sum of its proper divisors (247009771008).

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

83460529152 is a wasteful number, since it uses less digits than its factorization.

83460529152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 83460529152 in words is "eighty-three billion, four hundred sixty million, five hundred twenty-nine thousand, one hundred fifty-two".