648941435670528 has 2496 divisors, whose sum is σ = 2673033105899520. Its totient is φ = 146079114854400.

The previous prime is 648941435670499. The next prime is 648941435670629. The reversal of 648941435670528 is 825076534149846.

648941435670528 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 4 + 1 + 4 + 3 + 567 + 0 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×648941435670528² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79226150913 + ... + 79226159103.

It is an arithmetic number, because the mean of its divisors is an integer number (1070926725120).

It is a 3-persistent number, because k⋅648941435670528 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{648941435670528} 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 648941435670528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336516552949760).

648941435670528 is an abundant number, since it is smaller than the sum of its proper divisors (2024091670228992).

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

648941435670528 is a wasteful number, since it uses less digits than its factorization.

648941435670528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 648941435670528 in words is "six hundred forty-eight trillion, nine hundred forty-one billion, four hundred thirty-five million, six hundred seventy thousand, five hundred twenty-eight".