2011041644544 has 225 divisors, whose sum is σ = 6012998542551. Its totient is φ = 669802659840.

The previous prime is 2011041644509. The next prime is 2011041644587. The reversal of 2011041644544 is 4454461401102.

The square root of 2011041644544 is 1418112.

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

2011041644544 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 4 + 1 + 644 + 5 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011041644499 and 2011041644508.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1633664409 + ... + 1633665639.

Almost surely, 2^{2011041644544} is an apocalyptic number.

2011041644544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2011041644544 is the 1418112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011041644544

2011041644544 is an abundant number, since it is smaller than the sum of its proper divisors (4001956898007).

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

2011041644544 is an frugal number, since it uses more digits than its factorization.

2011041644544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 2011041644544 by its sum of digits (36), we get a square (72397499203584 = 8508672²).

2011041644544 divided by its sum of digits (36) gives a square (55862267904 = 236352²).

The spelling of 2011041644544 in words is "two trillion, eleven billion, forty-one million, six hundred forty-four thousand, five hundred forty-four".