1648885666600 has 96 divisors (see below), whose sum is σ = 3866364679680. Its totient is φ = 653939310080.

The previous prime is 1648885666583. The next prime is 1648885666609. The reversal of 1648885666600 is 66665888461.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1648885666609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22623417 + ... + 22696183.

It is an arithmetic number, because the mean of its divisors is an integer number (40274632080).

Almost surely, 2^{1648885666600} is an apocalyptic number.

1648885666600 is a gapful number since it is divisible by the number (10) 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 1648885666600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933182339840).

1648885666600 is an abundant number, since it is smaller than the sum of its proper divisors (2217479013080).

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

1648885666600 is a wasteful number, since it uses less digits than its factorization.

1648885666600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73747 (or 73738 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 64.

The spelling of 1648885666600 in words is "one trillion, six hundred forty-eight billion, eight hundred eighty-five million, six hundred sixty-six thousand, six hundred".