531116077464 has 512 divisors, whose sum is σ = 1792129536000. Its totient is φ = 142474235904.

The previous prime is 531116077447. The next prime is 531116077469. The reversal of 531116077464 is 464770611135.

It is a happy number.

531116077464 is a `hidden beast` number, since 5 + 3 + 1 + 116 + 0 + 77 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531116077469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 485924502 + ... + 485925594.

It is an arithmetic number, because the mean of its divisors is an integer number (3500253000).

Almost surely, 2^531116077464 is an apocalyptic number.

531116077464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531116077464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896064768000).

531116077464 is an abundant number, since it is smaller than the sum of its proper divisors (1261013458536).

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

531116077464 is a wasteful number, since it uses less digits than its factorization.

531116077464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

Adding to 531116077464 its reverse (464770611135), we get a palindrome (995886688599).

The spelling of 531116077464 in words is "five hundred thirty-one billion, one hundred sixteen million, seventy-seven thousand, four hundred sixty-four".