1008048560064 has 224 divisors, whose sum is σ = 3294748133376. Its totient is φ = 264876687360.

The previous prime is 1008048560059. The next prime is 1008048560069. The reversal of 1008048560064 is 4600658408001.

It is an interprime number because it is at equal distance from previous prime (1008048560059) and next prime (1008048560069).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1008048559998 and 1008048560025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008048560069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4628464 + ... + 4841360.

It is an arithmetic number, because the mean of its divisors is an integer number (14708697024).

Almost surely, 2^{1008048560064} is an apocalyptic number.

1008048560064 is a gapful number since it is divisible by the number (14) 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 1008048560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647374066688).

1008048560064 is an abundant number, since it is smaller than the sum of its proper divisors (2286699573312).

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

1008048560064 is a wasteful number, since it uses less digits than its factorization.

1008048560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213203 (or 213193 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 1008048560064 in words is "one trillion, eight billion, forty-eight million, five hundred sixty thousand, sixty-four".