1149655332672 has 2016 divisors, whose sum is σ = 4644338549760. Its totient is φ = 278204129280.

The previous prime is 1149655332653. The next prime is 1149655332689. The reversal of 1149655332672 is 2762335569411.

1149655332672 is a `hidden beast` number, since 1 + 1 + 49 + 6 + 5 + 533 + 2 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12917475604 + ... + 12917475692.

It is an arithmetic number, because the mean of its divisors is an integer number (2303739360).

Almost surely, 2^{1149655332672} is an apocalyptic number.

1149655332672 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 1149655332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322169274880).

1149655332672 is an abundant number, since it is smaller than the sum of its proper divisors (3494683217088).

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

1149655332672 is a wasteful number, since it uses less digits than its factorization.

1149655332672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 1149655332672 in words is "one trillion, one hundred forty-nine billion, six hundred fifty-five million, three hundred thirty-two thousand, six hundred seventy-two".