16460735672772 has 108 divisors (see below), whose sum is σ = 42242115295380. Its totient is φ = 5404662890496.

The previous prime is 16460735672621. The next prime is 16460735672807. The reversal of 16460735672772 is 27727653706461.

16460735672772 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 7 + 356 + 7 + 277 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 189386854596 + 16271348818176 = 435186^2 + 4033776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147472248 + ... + 147583824.

Almost surely, 2^{16460735672772} is an apocalyptic number.

16460735672772 is a gapful number since it is divisible by the number (12) 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 16460735672772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21121057647690).

16460735672772 is an abundant number, since it is smaller than the sum of its proper divisors (25781379622608).

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

16460735672772 is a wasteful number, since it uses less digits than its factorization.

16460735672772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112502 (or 112424 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 63.

The spelling of 16460735672772 in words is "sixteen trillion, four hundred sixty billion, seven hundred thirty-five million, six hundred seventy-two thousand, seven hundred seventy-two".