1172845111680 has 640 divisors, whose sum is σ = 4716674012160. Its totient is φ = 275150131200.

The previous prime is 1172845111673. The next prime is 1172845111687. The reversal of 1172845111680 is 861115482711.

It is a happy number.

1172845111680 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 8 + 451 + 116 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1172845111673) and next prime (1172845111687).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172845111687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17644267 + ... + 17710613.

It is an arithmetic number, because the mean of its divisors is an integer number (7369803144).

Almost surely, 2^{1172845111680} is an apocalyptic number.

1172845111680 is a gapful number since it is divisible by the number (10) 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 1172845111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358337006080).

1172845111680 is an abundant number, since it is smaller than the sum of its proper divisors (3543828900480).

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

1172845111680 is a wasteful number, since it uses less digits than its factorization.

1172845111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66420 (or 66399 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 1172845111680 in words is "one trillion, one hundred seventy-two billion, eight hundred forty-five million, one hundred eleven thousand, six hundred eighty".