1171545694064 has 80 divisors (see below), whose sum is σ = 2421525637440. Its totient is φ = 547168112640.

The previous prime is 1171545694037. The next prime is 1171545694079. The reversal of 1171545694064 is 4604965451711.

It is a junction number, because it is equal to n+sod(n) for n = 1171545693997 and 1171545694015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24740042 + ... + 24787350.

It is an arithmetic number, because the mean of its divisors is an integer number (30269070468).

Almost surely, 2^{1171545694064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1171545694064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210762818720).

1171545694064 is an abundant number, since it is smaller than the sum of its proper divisors (1249979943376).

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

1171545694064 is a wasteful number, since it uses less digits than its factorization.

1171545694064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48018 (or 48012 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 1171545694064 in words is "one trillion, one hundred seventy-one billion, five hundred forty-five million, six hundred ninety-four thousand, sixty-four".