648928176348816 has 1920 divisors, whose sum is σ = 2390974167859200. Its totient is φ = 166993753006080.

The previous prime is 648928176348799. The next prime is 648928176348839. The reversal of 648928176348816 is 618843671829846.

648928176348816 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 28 + 176 + 348 + 81 + 6 = 666.

It is a super-2 number, since 2×648928176348816² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 715466566635 + ... + 715466567541.

It is an arithmetic number, because the mean of its divisors is an integer number (1245299045760).

Almost surely, 2^{648928176348816} 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 648928176348816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195487083929600).

648928176348816 is an abundant number, since it is smaller than the sum of its proper divisors (1742045991510384).

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

648928176348816 is a wasteful number, since it uses less digits than its factorization.

648928176348816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1375 counting only the distinct ones).

The product of its digits is 5350883328, while the sum is 81.

The spelling of 648928176348816 in words is "six hundred forty-eight trillion, nine hundred twenty-eight billion, one hundred seventy-six million, three hundred forty-eight thousand, eight hundred sixteen".