1564942483104 has 1536 divisors, whose sum is σ = 5930562355200. Its totient is φ = 355622400000.

The previous prime is 1564942483103. The next prime is 1564942483163. The reversal of 1564942483104 is 4013842494651.

It is not an unprimeable number, because it can be changed into a prime (1564942483103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10363857429 + ... + 10363857579.

It is an arithmetic number, because the mean of its divisors is an integer number (3861043200).

Almost surely, 2^{1564942483104} is an apocalyptic number.

1564942483104 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 1564942483104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965281177600).

1564942483104 is an abundant number, since it is smaller than the sum of its proper divisors (4365619872096).

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

1564942483104 is a wasteful number, since it uses less digits than its factorization.

1564942483104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 1564942483104 in words is "one trillion, five hundred sixty-four billion, nine hundred forty-two million, four hundred eighty-three thousand, one hundred four".