1166949818496 has 1536 divisors, whose sum is σ = 4523099750400. Its totient is φ = 289700167680.

The previous prime is 1166949818401. The next prime is 1166949818509. The reversal of 1166949818496 is 6948189496611.

1166949818496 is a `hidden beast` number, since 1 + 16 + 6 + 9 + 49 + 81 + 8 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9188581185 + ... + 9188581311.

It is an arithmetic number, because the mean of its divisors is an integer number (2944726400).

Almost surely, 2^{1166949818496} is an apocalyptic number.

1166949818496 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 1166949818496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261549875200).

1166949818496 is an abundant number, since it is smaller than the sum of its proper divisors (3356149931904).

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

1166949818496 is a wasteful number, since it uses less digits than its factorization.

1166949818496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 1166949818496 in words is "one trillion, one hundred sixty-six billion, nine hundred forty-nine million, eight hundred eighteen thousand, four hundred ninety-six".