1197671783616 has 448 divisors, whose sum is σ = 4418880184320. Its totient is φ = 309018240000.

The previous prime is 1197671783603. The next prime is 1197671783617. The reversal of 1197671783616 is 6163871767911.

1197671783616 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 6 + 7 + 1 + 7 + 8 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1197671783617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20061651 + ... + 20121261.

It is an arithmetic number, because the mean of its divisors is an integer number (9863571840).

Almost surely, 2^{1197671783616} is an apocalyptic number.

1197671783616 is a gapful number since it is divisible by the number (16) 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 1197671783616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209440092160).

1197671783616 is an abundant number, since it is smaller than the sum of its proper divisors (3221208400704).

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

1197671783616 is a wasteful number, since it uses less digits than its factorization.

1197671783616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59801 (or 59785 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 63.

The spelling of 1197671783616 in words is "one trillion, one hundred ninety-seven billion, six hundred seventy-one million, seven hundred eighty-three thousand, six hundred sixteen".