1091799401616 has 480 divisors, whose sum is σ = 3937901101056. Its totient is φ = 274050432000.

The previous prime is 1091799401611. The next prime is 1091799401629. The reversal of 1091799401616 is 6161049971901.

1091799401616 is a `hidden beast` number, since 1 + 0 + 9 + 17 + 9 + 9 + 4 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×1091799401616² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1091799401611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304884946 + ... + 304888526.

Almost surely, 2^{1091799401616} is an apocalyptic number.

1091799401616 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 1091799401616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968950550528).

1091799401616 is an abundant number, since it is smaller than the sum of its proper divisors (2846101699440).

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

1091799401616 is a wasteful number, since it uses less digits than its factorization.

1091799401616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 1091799401616 in words is "one trillion, ninety-one billion, seven hundred ninety-nine million, four hundred one thousand, six hundred sixteen".