2106440044164 has 405 divisors, whose sum is σ = 6070309558131. Its totient is φ = 639526389120.

The previous prime is 2106440044157. The next prime is 2106440044187. The reversal of 2106440044164 is 4614400446012.

The square root of 2106440044164 is 1451358.

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

2106440044164 is a `hidden beast` number, since 2 + 1 + 0 + 644 + 0 + 0 + 4 + 4 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 653740165764 + 1452699878400 = 808542^2 + 1205280^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 67949678829 + ... + 67949678859.

Almost surely, 2^{2106440044164} is an apocalyptic number.

2106440044164 is the 1451358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106440044164

2106440044164 is an abundant number, since it is smaller than the sum of its proper divisors (3963869513967).

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

2106440044164 is an frugal number, since it uses more digits than its factorization.

2106440044164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Multiplying 2106440044164 by its sum of digits (36), we get a square (75831841589904 = 8708148²).

2106440044164 divided by its sum of digits (36) gives a square (58512223449 = 241893²).

The spelling of 2106440044164 in words is "two trillion, one hundred six billion, four hundred forty million, forty-four thousand, one hundred sixty-four".