16791046945344 has 189 divisors, whose sum is σ = 55988514806211. Its totient is φ = 4797245295360.

The previous prime is 16791046945333. The next prime is 16791046945511. The reversal of 16791046945344 is 44354964019761.

It is a happy number.

The square root of 16791046945344 is 4097688.

It is a perfect power (a square), and thus also a powerful number.

16791046945344 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 1 + 0 + 4 + 6 + 94 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 688399389 + ... + 688423779.

Almost surely, 2^{16791046945344} is an apocalyptic number.

16791046945344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16791046945344 is the 4097688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16791046945344

16791046945344 is an abundant number, since it is smaller than the sum of its proper divisors (39197467860867).

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

16791046945344 is an frugal number, since it uses more digits than its factorization.

16791046945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48814 (or 24403 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 16791046945344 in words is "sixteen trillion, seven hundred ninety-one billion, forty-six million, nine hundred forty-five thousand, three hundred forty-four".