531283714416 has 1200 divisors, whose sum is σ = 2027969264160. Its totient is φ = 132291532800.

The previous prime is 531283714387. The next prime is 531283714427. The reversal of 531283714416 is 614417382135.

531283714416 is a `hidden beast` number, since 53 + 12 + 83 + 71 + 441 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12958139356 + ... + 12958139396.

Almost surely, 2^531283714416 is an apocalyptic number.

531283714416 is a gapful number since it is divisible by the number (56) 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 531283714416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013984632080).

531283714416 is an abundant number, since it is smaller than the sum of its proper divisors (1496685549744).

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

531283714416 is a wasteful number, since it uses less digits than its factorization.

531283714416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 97 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 531283714416 in words is "five hundred thirty-one billion, two hundred eighty-three million, seven hundred fourteen thousand, four hundred sixteen".