648134604936 has 1024 divisors, whose sum is σ = 2406039552000. Its totient is φ = 157003038720.

The previous prime is 648134604917. The next prime is 648134604991. The reversal of 648134604936 is 639406431846.

It is a happy number.

648134604936 is a `hidden beast` number, since 6 + 481 + 34 + 60 + 49 + 36 = 666.

648134604936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×648134604936² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1353099145 + ... + 1353099623.

It is an arithmetic number, because the mean of its divisors is an integer number (2349648000).

Almost surely, 2^648134604936 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 648134604936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203019776000).

648134604936 is an abundant number, since it is smaller than the sum of its proper divisors (1757904947064).

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

648134604936 is a wasteful number, since it uses less digits than its factorization.

648134604936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 648134604936 in words is "six hundred forty-eight billion, one hundred thirty-four million, six hundred four thousand, nine hundred thirty-six".