849086542230624 has 432 divisors, whose sum is σ = 2512519880951808. Its totient is φ = 271952409222144.

The previous prime is 849086542230601. The next prime is 849086542230649. The reversal of 849086542230624 is 426032245680948.

849086542230624 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 8 + 6 + 542 + 23 + 0 + 62 + 4 = 666.

849086542230624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Sastry number since concatenated with its successor gives a square.

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, 135054322009 + ... + 135054328295.

It is an arithmetic number, because the mean of its divisors is an integer number (5816018242944).

Almost surely, 2^{849086542230624} 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 849086542230624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256259940475904).

849086542230624 is an abundant number, since it is smaller than the sum of its proper divisors (1663433338721184).

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

849086542230624 is a wasteful number, since it uses less digits than its factorization.

849086542230624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 849086542230624 in words is "eight hundred forty-nine trillion, eighty-six billion, five hundred forty-two million, two hundred thirty thousand, six hundred twenty-four".