11820299452416 has 1472 divisors, whose sum is σ = 45698446581760. Its totient is φ = 2935341711360.

The previous prime is 11820299452369. The next prime is 11820299452469. The reversal of 11820299452416 is 61425499202811.

11820299452416 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 0 + 29 + 94 + 524 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 319467552750 + ... + 319467552786.

Almost surely, 2^{11820299452416} is an apocalyptic number.

11820299452416 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 11820299452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22849223290880).

11820299452416 is an abundant number, since it is smaller than the sum of its proper divisors (33878147129344).

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

11820299452416 is an frugal number, since it uses more digits than its factorization.

11820299452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11820299452416 in words is "eleven trillion, eight hundred twenty billion, two hundred ninety-nine million, four hundred fifty-two thousand, four hundred sixteen".