1196625798144 has 1188 divisors, whose sum is σ = 4375396693044. Its totient is φ = 313885458432.

The previous prime is 1196625798131. The next prime is 1196625798163. The reversal of 1196625798144 is 4418975266911.

1196625798144 is a `hidden beast` number, since 1 + 19 + 6 + 6 + 2 + 579 + 8 + 1 + 44 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 438138086400 + 758487711744 = 661920^2 + 870912^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6916912042 + ... + 6916912214.

Almost surely, 2^{1196625798144} is an apocalyptic number.

1196625798144 is a gapful number since it is divisible by the number (14) 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 1196625798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187698346522).

1196625798144 is an abundant number, since it is smaller than the sum of its proper divisors (3178770894900).

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

1196625798144 is a wasteful number, since it uses less digits than its factorization.

1196625798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 255 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 1196625798144 in words is "one trillion, one hundred ninety-six billion, six hundred twenty-five million, seven hundred ninety-eight thousand, one hundred forty-four".