11540135356544 has 16 divisors (see below), whose sum is σ = 22990113405870. Its totient is φ = 5770067678208.

The previous prime is 11540135356531. The next prime is 11540135356559. The reversal of 11540135356544 is 44565353104511.

It can be written as a sum of positive squares in only one way, i.e., 8800051054144 + 2740084302400 = 2966488^2 + 1655320^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45078653609 + ... + 45078653864.

Almost surely, 2^{11540135356544} is an apocalyptic number.

It is an amenable number.

11540135356544 is a deficient number, since it is larger than the sum of its proper divisors (11449978049326).

11540135356544 is an frugal number, since it uses more digits than its factorization.

11540135356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90157307487 (or 90157307475 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 11540135356544 in words is "eleven trillion, five hundred forty billion, one hundred thirty-five million, three hundred fifty-six thousand, five hundred forty-four".