1111082648832 has 288 divisors, whose sum is σ = 3588267836160. Its totient is φ = 337054556160.

The previous prime is 1111082648803. The next prime is 1111082648843. The reversal of 1111082648832 is 2388462801111.

1111082648832 is a `hidden beast` number, since 1 + 1 + 110 + 8 + 26 + 488 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6292698 + ... + 6466854.

It is an arithmetic number, because the mean of its divisors is an integer number (12459263320).

Almost surely, 2^{1111082648832} is an apocalyptic number.

1111082648832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111082648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794133918080).

1111082648832 is an abundant number, since it is smaller than the sum of its proper divisors (2477185187328).

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

1111082648832 is a wasteful number, since it uses less digits than its factorization.

1111082648832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174266 (or 174246 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1111082648832 in words is "one trillion, one hundred eleven billion, eighty-two million, six hundred forty-eight thousand, eight hundred thirty-two".