11154005476704 has 48 divisors (see below), whose sum is σ = 32532515976240. Its totient is φ = 3718001825280.

The previous prime is 11154005476661. The next prime is 11154005476709. The reversal of 11154005476704 is 40767450045111.

11154005476704 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 40 + 0 + 547 + 67 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11154005476704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11154005476709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6454863417 + ... + 6454865144.

It is an arithmetic number, because the mean of its divisors is an integer number (677760749505).

Almost surely, 2^{11154005476704} is an apocalyptic number.

It is an amenable number.

11154005476704 is an abundant number, since it is smaller than the sum of its proper divisors (21378510499536).

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

11154005476704 is a wasteful number, since it uses less digits than its factorization.

11154005476704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12909728580 (or 12909728566 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 11154005476704 in words is "eleven trillion, one hundred fifty-four billion, five million, four hundred seventy-six thousand, seven hundred four".