531623384064 has 132 divisors (see below), whose sum is σ = 1564015647636. Its totient is φ = 173864091648.

The previous prime is 531623384003. The next prime is 531623384069. The reversal of 531623384064 is 460483326135.

531623384064 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 233 + 8 + 406 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365550833664 + 166072550400 = 604608^2 + 407520^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531623384069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55749 + ... + 1032644.

Almost surely, 2^531623384064 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 531623384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782007823818).

531623384064 is an abundant number, since it is smaller than the sum of its proper divisors (1032392263572).

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

531623384064 is a wasteful number, since it uses less digits than its factorization.

531623384064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088472 (or 1088451 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

It can be divided in two parts, 5316 and 23384064, that added together give a triangular number (23389380 = T₆₈₃₉).

The spelling of 531623384064 in words is "five hundred thirty-one billion, six hundred twenty-three million, three hundred eighty-four thousand, sixty-four".