11084158586944 has 63 divisors (see below), whose sum is σ = 22088594868823. Its totient is φ = 5518627788800.

The previous prime is 11084158586939. The next prime is 11084158586971. The reversal of 11084158586944 is 44968585148011.

The square root of 11084158586944 is 3329288.

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

It can be written as a sum of positive squares in 4 ways, for example, as 127528980544 + 10956629606400 = 357112^2 + 3310080^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7484238684 + ... + 7484240164.

Almost surely, 2^{11084158586944} is an apocalyptic number.

11084158586944 is the 3329288-th square number.

It is an amenable number.

11084158586944 is a deficient number, since it is larger than the sum of its proper divisors (11004436281879).

11084158586944 is an frugal number, since it uses more digits than its factorization.

11084158586944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 64.

Multiplying 11084158586944 by its sum of digits (64), we get a square (709386149564416 = 26634304²).

11084158586944 divided by its sum of digits (64) gives a square (173189977921 = 416161²).

The spelling of 11084158586944 in words is "eleven trillion, eighty-four billion, one hundred fifty-eight million, five hundred eighty-six thousand, nine hundred forty-four".