16012906574688 has 144 divisors (see below), whose sum is σ = 48757079301840. Its totient is φ = 4967211245568.

The previous prime is 16012906574669. The next prime is 16012906574723. The reversal of 16012906574688 is 88647560921061.

16012906574688 is a `hidden beast` number, since 16 + 0 + 12 + 90 + 65 + 7 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×16012906574688³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17938470 + ... + 18809957.

It is an arithmetic number, because the mean of its divisors is an integer number (338590828485).

Almost surely, 2^{16012906574688} is an apocalyptic number.

16012906574688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16012906574688 is an abundant number, since it is smaller than the sum of its proper divisors (32744172727152).

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

16012906574688 is a wasteful number, since it uses less digits than its factorization.

16012906574688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36748549 (or 36748538 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 16012906574688 in words is "sixteen trillion, twelve billion, nine hundred six million, five hundred seventy-four thousand, six hundred eighty-eight".