917449660463616 has 1280 divisors, whose sum is σ = 3264115883212800. Its totient is φ = 248916403814400.

The previous prime is 917449660463603. The next prime is 917449660463627. The reversal of 917449660463616 is 616364066944719.

917449660463616 is a `hidden beast` number, since 9 + 1 + 7 + 4 + 4 + 9 + 6 + 604 + 6 + 3 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79233922915 + ... + 79233934493.

It is an arithmetic number, because the mean of its divisors is an integer number (2550090533760).

Almost surely, 2^{917449660463616} is an apocalyptic number.

917449660463616 is a gapful number since it is divisible by the number (96) 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 917449660463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632057941606400).

917449660463616 is an abundant number, since it is smaller than the sum of its proper divisors (2346666222749184).

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

917449660463616 is a wasteful number, since it uses less digits than its factorization.

917449660463616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138 (or 12116 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 917449660463616 in words is "nine hundred seventeen trillion, four hundred forty-nine billion, six hundred sixty million, four hundred sixty-three thousand, six hundred sixteen".