648518146704432 has 240 divisors, whose sum is σ = 1894864016298240. Its totient is φ = 206814278246400.

The previous prime is 648518146704419. The next prime is 648518146704443. The reversal of 648518146704432 is 234407641815846.

648518146704432 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 1 + 81 + 46 + 70 + 443 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 648518146704432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2431715478 + ... + 2431982154.

It is an arithmetic number, because the mean of its divisors is an integer number (7895266734576).

Almost surely, 2^{648518146704432} is an apocalyptic number.

648518146704432 is a gapful number since it is divisible by the number (62) 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 648518146704432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947432008149120).

648518146704432 is an abundant number, since it is smaller than the sum of its proper divisors (1246345869593808).

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

648518146704432 is a wasteful number, since it uses less digits than its factorization.

648518146704432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272932 (or 272923 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 648518146704432 in words is "six hundred forty-eight trillion, five hundred eighteen billion, one hundred forty-six million, seven hundred four thousand, four hundred thirty-two".