1181099005632 has 448 divisors, whose sum is σ = 4524884259840. Its totient is φ = 293174525952.

The previous prime is 1181099005577. The next prime is 1181099005637. The reversal of 1181099005632 is 2365009901811.

1181099005632 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 0 + 9 + 9 + 0 + 0 + 5 + 632 = 666.

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

It is a super-2 number, since 2×1181099005632² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1181099005637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2452303 + ... + 2894129.

It is an arithmetic number, because the mean of its divisors is an integer number (10100188080).

Almost surely, 2^{1181099005632} is an apocalyptic number.

1181099005632 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 1181099005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262442129920).

1181099005632 is an abundant number, since it is smaller than the sum of its proper divisors (3343785254208).

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

1181099005632 is a wasteful number, since it uses less digits than its factorization.

1181099005632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441885 (or 441869 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 1181099005632 in words is "one trillion, one hundred eighty-one billion, ninety-nine million, five thousand, six hundred thirty-two".