610145712512 has 128 divisors (see below), whose sum is σ = 1438457529600. Its totient is φ = 252230952960.

The previous prime is 610145712487. The next prime is 610145712563. The reversal of 610145712512 is 215217541016.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28337783 + ... + 28359305.

It is an arithmetic number, because the mean of its divisors is an integer number (11237949450).

Almost surely, 2^610145712512 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 610145712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719228764800).

610145712512 is an abundant number, since it is smaller than the sum of its proper divisors (828311817088).

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

610145712512 is a wasteful number, since it uses less digits than its factorization.

610145712512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22664 (or 22652 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 610145712512 in words is "six hundred ten billion, one hundred forty-five million, seven hundred twelve thousand, five hundred twelve".