1161181103616 has 480 divisors, whose sum is σ = 3556325380608. Its totient is φ = 364296683520.

The previous prime is 1161181103567. The next prime is 1161181103633. The reversal of 1161181103616 is 6163011811611.

It is a happy number.

1161181103616 is a `hidden beast` number, since 1 + 1 + 611 + 8 + 1 + 1 + 0 + 36 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623954526 + ... + 623956386.

Almost surely, 2^{1161181103616} is an apocalyptic number.

1161181103616 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 1161181103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778162690304).

1161181103616 is an abundant number, since it is smaller than the sum of its proper divisors (2395144276992).

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

1161181103616 is a wasteful number, since it uses less digits than its factorization.

1161181103616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1161181103616 in words is "one trillion, one hundred sixty-one billion, one hundred eighty-one million, one hundred three thousand, six hundred sixteen".