2011564412064 has 252 divisors, whose sum is σ = 6010565356026. Its totient is φ = 662389975296.

The previous prime is 2011564412063. The next prime is 2011564412087. The reversal of 2011564412064 is 4602144651102.

2011564412064 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 5 + 6 + 441 + 206 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1255520250000 + 756044162064 = 1120500^2 + 869508^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2011564412063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 160700334 + ... + 160712850.

Almost surely, 2^{2011564412064} is an apocalyptic number.

2011564412064 is a gapful number since it is divisible by the number (24) 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 2011564412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005282678013).

2011564412064 is an abundant number, since it is smaller than the sum of its proper divisors (3999000943962).

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

2011564412064 is an frugal number, since it uses more digits than its factorization.

2011564412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12711 (or 12605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2011564412064 in words is "two trillion, eleven billion, five hundred sixty-four million, four hundred twelve thousand, sixty-four".