617164482097152 has 1872 divisors, whose sum is σ = 2182834782011520. Its totient is φ = 172212446822400.

The previous prime is 617164482097123. The next prime is 617164482097279. The reversal of 617164482097152 is 251790284461716.

It is a happy number.

617164482097152 is a `hidden beast` number, since 6 + 1 + 7 + 1 + 64 + 482 + 0 + 97 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×617164482097152² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 617164482097152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2294291754874 + ... + 2294291755142.

It is an arithmetic number, because the mean of its divisors is an integer number (1166044221160).

Almost surely, 2^{617164482097152} 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 617164482097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091417391005760).

617164482097152 is an abundant number, since it is smaller than the sum of its proper divisors (1565670299914368).

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

617164482097152 is an equidigital number, since it uses as much as digits as its factorization.

617164482097152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 617164482097152 in words is "six hundred seventeen trillion, one hundred sixty-four billion, four hundred eighty-two million, ninety-seven thousand, one hundred fifty-two".