11512354613664 has 24 divisors (see below), whose sum is σ = 30219930861120. Its totient is φ = 3837451537856.

The previous prime is 11512354613657. The next prime is 11512354613741. The reversal of 11512354613664 is 46631645321511.

11512354613664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59960180184 + ... + 59960180375.

It is an arithmetic number, because the mean of its divisors is an integer number (1259163785880).

Almost surely, 2^{11512354613664} is an apocalyptic number.

It is an amenable number.

11512354613664 is an abundant number, since it is smaller than the sum of its proper divisors (18707576247456).

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

11512354613664 is a wasteful number, since it uses less digits than its factorization.

11512354613664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119920360572 (or 119920360564 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 11512354613664 in words is "eleven trillion, five hundred twelve billion, three hundred fifty-four million, six hundred thirteen thousand, six hundred sixty-four".