16046377869672 has 192 divisors, whose sum is σ = 45015398588160. Its totient is φ = 5160228249600.

The previous prime is 16046377869647. The next prime is 16046377869733. The reversal of 16046377869672 is 27696877364061.

16046377869672 is a `hidden beast` number, since 1 + 6 + 0 + 463 + 7 + 7 + 8 + 6 + 96 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 16046377869672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352466703 + ... + 352512225.

It is an arithmetic number, because the mean of its divisors is an integer number (234455200980).

Almost surely, 2^{16046377869672} is an apocalyptic number.

16046377869672 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 16046377869672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22507699294080).

16046377869672 is an abundant number, since it is smaller than the sum of its proper divisors (28969020718488).

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

16046377869672 is a wasteful number, since it uses less digits than its factorization.

16046377869672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46904 (or 46897 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 16046377869672 in words is "sixteen trillion, forty-six billion, three hundred seventy-seven million, eight hundred sixty-nine thousand, six hundred seventy-two".