612600421644288 has 2880 divisors, whose sum is σ = 2450950716614400. Its totient is φ = 150443800657920.

The previous prime is 612600421644283. The next prime is 612600421644383. The reversal of 612600421644288 is 882446124006216.

612600421644288 is a `hidden beast` number, since 6 + 1 + 2 + 600 + 4 + 2 + 1 + 6 + 4 + 4 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612600421644283) 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 239 ways as a sum of consecutive naturals, for example, 183029703031 + ... + 183029706377.

It is an arithmetic number, because the mean of its divisors is an integer number (851024554380).

Almost surely, 2^{612600421644288} 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 612600421644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225475358307200).

612600421644288 is an abundant number, since it is smaller than the sum of its proper divisors (1838350294970112).

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

612600421644288 is a wasteful number, since it uses less digits than its factorization.

612600421644288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 612600421644288 in words is "six hundred twelve trillion, six hundred billion, four hundred twenty-one million, six hundred forty-four thousand, two hundred eighty-eight".