648033557346 has 192 divisors, whose sum is σ = 1719769708800. Its totient is φ = 172252459008.

The previous prime is 648033557341. The next prime is 648033557389. The reversal of 648033557346 is 643755330846.

648033557346 is a `hidden beast` number, since 6 + 4 + 80 + 3 + 3 + 557 + 3 + 4 + 6 = 666.

It is a super-2 number, since 2×648033557346² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 648033557292 and 648033557301.

It is not an unprimeable number, because it can be changed into a prime (648033557341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29475910 + ... + 29497886.

It is an arithmetic number, because the mean of its divisors is an integer number (8957133900).

Almost surely, 2^648033557346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648033557346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859884854400).

648033557346 is an abundant number, since it is smaller than the sum of its proper divisors (1071736151454).

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

648033557346 is a wasteful number, since it uses less digits than its factorization.

648033557346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22233 (or 22230 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 648033557346 in words is "six hundred forty-eight billion, thirty-three million, five hundred fifty-seven thousand, three hundred forty-six".