617107341312 has 1260 divisors, whose sum is σ = 2362599787408. Its totient is φ = 157659955200.

The previous prime is 617107341293. The next prime is 617107341359. The reversal of 617107341312 is 213143701716.

It is a happy number.

617107341312 is a `hidden beast` number, since 6 + 171 + 0 + 73 + 413 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 10116513762 + ... + 10116513822.

Almost surely, 2^617107341312 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 617107341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181299893704).

617107341312 is an abundant number, since it is smaller than the sum of its proper divisors (1745492446096).

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

617107341312 is an frugal number, since it uses more digits than its factorization.

617107341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 617107341312 in words is "six hundred seventeen billion, one hundred seven million, three hundred forty-one thousand, three hundred twelve".