11445511456032 has 48 divisors (see below), whose sum is σ = 30743176131360. Its totient is φ = 3726445588992.

The previous prime is 11445511456021. The next prime is 11445511456061. The reversal of 11445511456032 is 23065411554411.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1386322357 + ... + 1386330612.

It is an arithmetic number, because the mean of its divisors is an integer number (640482836070).

Almost surely, 2^{11445511456032} is an apocalyptic number.

11445511456032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11445511456032 is an abundant number, since it is smaller than the sum of its proper divisors (19297664675328).

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

11445511456032 is a wasteful number, since it uses less digits than its factorization.

11445511456032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772653025 (or 2772653017 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 11445511456032 in words is "eleven trillion, four hundred forty-five billion, five hundred eleven million, four hundred fifty-six thousand, thirty-two".