11914706016 has 96 divisors (see below), whose sum is σ = 35180460000. Its totient is φ = 3971545344.

The previous prime is 11914705993. The next prime is 11914706033. The reversal of 11914706016 is 61060741911.

11914706016 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 47 + 0 + 601 + 6 = 666.

11914706016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15141 + ... + 155108.

It is an arithmetic number, because the mean of its divisors is an integer number (366463125).

Almost surely, 2^11914706016 is an apocalyptic number.

11914706016 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 11914706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590230000).

11914706016 is an abundant number, since it is smaller than the sum of its proper divisors (23265753984).

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

11914706016 is an frugal number, since it uses more digits than its factorization.

11914706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170280 (or 170254 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11914706016 in words is "eleven billion, nine hundred fourteen million, seven hundred six thousand, sixteen".