617161918464 has 480 divisors, whose sum is σ = 2268875568960. Its totient is φ = 162763997184.

The previous prime is 617161918459. The next prime is 617161918469. The reversal of 617161918464 is 464819161716.

It is a happy number.

617161918464 is a `hidden beast` number, since 6 + 1 + 7 + 1 + 619 + 18 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (617161918459) and next prime (617161918469).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 617161918464.

It is not an unprimeable number, because it can be changed into a prime (617161918469) 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 39 ways as a sum of consecutive naturals, for example, 15075367 + ... + 15116249.

It is an arithmetic number, because the mean of its divisors is an integer number (4726824102).

Almost surely, 2^617161918464 is an apocalyptic number.

617161918464 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 617161918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134437784480).

617161918464 is an abundant number, since it is smaller than the sum of its proper divisors (1651713650496).

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

617161918464 is a wasteful number, since it uses less digits than its factorization.

617161918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40937 (or 40908 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 617161918464 in words is "six hundred seventeen billion, one hundred sixty-one million, nine hundred eighteen thousand, four hundred sixty-four".