2111185752064 has 117 divisors (see below), whose sum is σ = 4294289828109. Its totient is φ = 1037785006080.

The previous prime is 2111185752061. The next prime is 2111185752101. The reversal of 2111185752064 is 4602575811112.

The square root of 2111185752064 is 1452992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1198411878400 + 912773873664 = 1094720^2 + 955392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2111185752064.

It is not an unprimeable number, because it can be changed into a prime (2111185752061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6788378469 + ... + 6788378779.

Almost surely, 2^{2111185752064} is an apocalyptic number.

2111185752064 is the 1452992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111185752064

2111185752064 is an abundant number, since it is smaller than the sum of its proper divisors (2183104076045).

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

2111185752064 is an frugal number, since it uses more digits than its factorization.

2111185752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 2111185752064 in words is "two trillion, one hundred eleven billion, one hundred eighty-five million, seven hundred fifty-two thousand, sixty-four".