648416191696 has 720 divisors, whose sum is σ = 1764393321600. Its totient is φ = 228419315712.

The previous prime is 648416191693. The next prime is 648416191699. The reversal of 648416191696 is 696191614846.

It is an interprime number because it is at equal distance from previous prime (648416191693) and next prime (648416191699).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648416191693) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6295302781 + ... + 6295302883.

It is an arithmetic number, because the mean of its divisors is an integer number (2450546280).

Almost surely, 2^648416191696 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 648416191696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882196660800).

648416191696 is an abundant number, since it is smaller than the sum of its proper divisors (1115977129904).

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

648416191696 is a wasteful number, since it uses less digits than its factorization.

648416191696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 232 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 61.

The spelling of 648416191696 in words is "six hundred forty-eight billion, four hundred sixteen million, one hundred ninety-one thousand, six hundred ninety-six".