11731674416016 has 160 divisors (see below), whose sum is σ = 31986119185920. Its totient is φ = 3699521280000.

The previous prime is 11731674415999. The next prime is 11731674416017. The reversal of 11731674416016 is 61061447613711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11731674416017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55299906 + ... + 55511646.

It is an arithmetic number, because the mean of its divisors is an integer number (199913244912).

Almost surely, 2^{11731674416016} is an apocalyptic number.

11731674416016 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 11731674416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993059592960).

11731674416016 is an abundant number, since it is smaller than the sum of its proper divisors (20254444769904).

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

11731674416016 is a wasteful number, since it uses less digits than its factorization.

11731674416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212585 (or 212579 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 11731674416016 in words is "eleven trillion, seven hundred thirty-one billion, six hundred seventy-four million, four hundred sixteen thousand, sixteen".