648928184832 has 400 divisors, whose sum is σ = 2008017728640. Its totient is φ = 208505290752.

The previous prime is 648928184777. The next prime is 648928184881. The reversal of 648928184832 is 238481829846.

648928184832 is a `hidden beast` number, since 6 + 489 + 2 + 81 + 8 + 48 + 32 = 666.

It is a super-2 number, since 2×648928184832² (a number of 24 digits) contains 22 as substring.

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 648928184832.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130592844 + ... + 130597812.

Almost surely, 2^648928184832 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 648928184832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004008864320).

648928184832 is an abundant number, since it is smaller than the sum of its proper divisors (1359089543808).

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

648928184832 is an equidigital number, since it uses as much as digits as its factorization.

648928184832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5088 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 648928184832 in words is "six hundred forty-eight billion, nine hundred twenty-eight million, one hundred eighty-four thousand, eight hundred thirty-two".