11812661514016 has 96 divisors (see below), whose sum is σ = 25527377292480. Its totient is φ = 5336266214400.

The previous prime is 11812661513977. The next prime is 11812661514019. The reversal of 11812661514016 is 61041516621811.

It is a super-3 number, since 3×11812661514016³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11812661514019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36774390 + ... + 37094218.

It is an arithmetic number, because the mean of its divisors is an integer number (265910180130).

Almost surely, 2^{11812661514016} is an apocalyptic number.

11812661514016 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 11812661514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763688646240).

11812661514016 is an abundant number, since it is smaller than the sum of its proper divisors (13714715778464).

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

11812661514016 is a wasteful number, since it uses less digits than its factorization.

11812661514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320498 (or 320490 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 11812661514016 in words is "eleven trillion, eight hundred twelve billion, six hundred sixty-one million, five hundred fourteen thousand, sixteen".