531101386368 has 192 divisors, whose sum is σ = 1763924123520. Its totient is φ = 150240614400.

The previous prime is 531101386363. The next prime is 531101386379. The reversal of 531101386368 is 863683101135.

531101386368 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 0 + 1 + 3 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (531101386363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488421 + ... + 1140507.

It is an arithmetic number, because the mean of its divisors is an integer number (9187104810).

Almost surely, 2^531101386368 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 531101386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881962061760).

531101386368 is an abundant number, since it is smaller than the sum of its proper divisors (1232822737152).

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

531101386368 is a wasteful number, since it uses less digits than its factorization.

531101386368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652215 (or 652200 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 531101386368 in words is "five hundred thirty-one billion, one hundred one million, three hundred eighty-six thousand, three hundred sixty-eight".