648815108832 has 672 divisors, whose sum is σ = 2168919680256. Its totient is φ = 189249177600.

The previous prime is 648815108807. The next prime is 648815108849. The reversal of 648815108832 is 238801518846.

648815108832 is a `hidden beast` number, since 6 + 48 + 8 + 1 + 510 + 8 + 83 + 2 = 666.

It is a super-2 number, since 2×648815108832² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 873236653 + ... + 873237395.

It is an arithmetic number, because the mean of its divisors is an integer number (3227559048).

Almost surely, 2^648815108832 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 648815108832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084459840128).

648815108832 is an abundant number, since it is smaller than the sum of its proper divisors (1520104571424).

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

648815108832 is a wasteful number, since it uses less digits than its factorization.

648815108832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 648815108832 in words is "six hundred forty-eight billion, eight hundred fifteen million, one hundred eight thousand, eight hundred thirty-two".