16149235056768 has 96 divisors (see below), whose sum is σ = 50695752135600. Its totient is φ = 4893707589120.

The previous prime is 16149235056767. The next prime is 16149235056811. The reversal of 16149235056768 is 86765053294161.

It is a happy number.

16149235056768 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 9 + 2 + 3 + 5 + 0 + 567 + 68 = 666.

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

It is a super-3 number, since 3×16149235056768³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16149235056761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637188838 + ... + 637214181.

It is a 2-persistent number, because it is pandigital, and so is 2⋅16149235056768 = 32298470113536, but 3⋅16149235056768 = 48447705170304 is not.

Almost surely, 2^{16149235056768} is an apocalyptic number.

16149235056768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16149235056768 is an abundant number, since it is smaller than the sum of its proper divisors (34546517078832).

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

16149235056768 is a wasteful number, since it uses less digits than its factorization.

16149235056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274403050 (or 1274403035 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 16149235056768 in words is "sixteen trillion, one hundred forty-nine billion, two hundred thirty-five million, fifty-six thousand, seven hundred sixty-eight".