648985283541000 has 1024 divisors, whose sum is σ = 2588799522816000. Its totient is φ = 147326453683200.

The previous prime is 648985283540999. The next prime is 648985283541013. The reversal of 648985283541000 is 145382589846.

648985283541000 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 8 + 5 + 2 + 83 + 541 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 49506842446 + ... + 49506855554.

It is an arithmetic number, because the mean of its divisors is an integer number (2528124534000).

Almost surely, 2^{648985283541000} is an apocalyptic number.

648985283541000 is a gapful number since it is divisible by the number (60) 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 648985283541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294399761408000).

648985283541000 is an abundant number, since it is smaller than the sum of its proper divisors (1939814239275000).

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

648985283541000 is a wasteful number, since it uses less digits than its factorization.

648985283541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14896 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 648985283541000 in words is "six hundred forty-eight trillion, nine hundred eighty-five billion, two hundred eighty-three million, five hundred forty-one thousand".