83812523345460 has 288 divisors, whose sum is σ = 315669121447680. Its totient is φ = 17527029682176.

The previous prime is 83812523345413. The next prime is 83812523345471. The reversal of 83812523345460 is 6454332521838.

83812523345460 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 2 + 523 + 3 + 4 + 54 + 60 = 666.

83812523345460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×83812523345460² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83812523345397 and 83812523345406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20789590 + ... + 24491469.

It is an arithmetic number, because the mean of its divisors is an integer number (1096073338360).

Almost surely, 2^{83812523345460} is an apocalyptic number.

It is an amenable number.

83812523345460 is an abundant number, since it is smaller than the sum of its proper divisors (231856598102220).

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

83812523345460 is a wasteful number, since it uses less digits than its factorization.

83812523345460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45281207 (or 45281202 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 83812523345460 in words is "eighty-three trillion, eight hundred twelve billion, five hundred twenty-three million, three hundred forty-five thousand, four hundred sixty".