612712352645624 has 256 divisors, whose sum is σ = 1544883450163200. Its totient is φ = 220580287257600.

The previous prime is 612712352645621. The next prime is 612712352645647. The reversal of 612712352645624 is 426546253217216.

It is a super-3 number, since 3×612712352645624³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 612712352645624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612712352645621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1824754919 + ... + 1825090665.

It is an arithmetic number, because the mean of its divisors is an integer number (6034700977200).

Almost surely, 2^{612712352645624} 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 612712352645624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772441725081600).

612712352645624 is an abundant number, since it is smaller than the sum of its proper divisors (932171097517576).

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

612712352645624 is a wasteful number, since it uses less digits than its factorization.

612712352645624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339634 (or 339630 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 56.

The spelling of 612712352645624 in words is "six hundred twelve trillion, seven hundred twelve billion, three hundred fifty-two million, six hundred forty-five thousand, six hundred twenty-four".