653466348976896 has 1728 divisors, whose sum is σ = 2499408066355200. Its totient is φ = 162901233008640.

The previous prime is 653466348976879. The next prime is 653466348976901. The reversal of 653466348976896 is 698679843664356.

653466348976896 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 6 + 63 + 489 + 7 + 68 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13694599630 + ... + 13694647346.

Almost surely, 2^{653466348976896} 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 653466348976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249704033177600).

653466348976896 is an abundant number, since it is smaller than the sum of its proper divisors (1845941717378304).

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

653466348976896 is a wasteful number, since it uses less digits than its factorization.

653466348976896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47847 (or 47816 counting only the distinct ones).

The product of its digits is 203166351360, while the sum is 90.

The spelling of 653466348976896 in words is "six hundred fifty-three trillion, four hundred sixty-six billion, three hundred forty-eight million, nine hundred seventy-six thousand, eight hundred ninety-six".