83002945536 has 936 divisors, whose sum is σ = 309602107440. Its totient is φ = 21898985472.

The previous prime is 83002945513. The next prime is 83002945547. The reversal of 83002945536 is 63554920038.

83002945536 is a `hidden beast` number, since 8 + 3 + 0 + 0 + 2 + 94 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83002945491 and 83002945500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1566093286 + ... + 1566093338.

Almost surely, 2^83002945536 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 83002945536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154801053720).

83002945536 is an abundant number, since it is smaller than the sum of its proper divisors (226599161904).

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

83002945536 is a wasteful number, since it uses less digits than its factorization.

83002945536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 83002945536 in words is "eighty-three billion, two million, nine hundred forty-five thousand, five hundred thirty-six".