612170089344 has 320 divisors, whose sum is σ = 1992117283200. Its totient is φ = 185068385280.

The previous prime is 612170089303. The next prime is 612170089357. The reversal of 612170089344 is 443980071216.

612170089344 is a `hidden beast` number, since 61 + 2 + 170 + 0 + 89 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 612170089344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50060959 + ... + 50073185.

It is an arithmetic number, because the mean of its divisors is an integer number (6225366510).

Almost surely, 2^612170089344 is an apocalyptic number.

612170089344 is a gapful number since it is divisible by the number (64) 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 612170089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996058641600).

612170089344 is an abundant number, since it is smaller than the sum of its proper divisors (1379947193856).

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

612170089344 is a wasteful number, since it uses less digits than its factorization.

612170089344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12703 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 612170089344 in words is "six hundred twelve billion, one hundred seventy million, eighty-nine thousand, three hundred forty-four".