16704073870848 has 2160 divisors, whose sum is σ = 65130472382976. Its totient is φ = 4255206359040.

The previous prime is 16704073870823. The next prime is 16704073870907. The reversal of 16704073870848 is 84807837040761.

16704073870848 is a `hidden beast` number, since 1 + 6 + 70 + 407 + 3 + 87 + 0 + 84 + 8 = 666.

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

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 31938955515 + ... + 31938956037.

Almost surely, 2^{16704073870848} is an apocalyptic number.

16704073870848 is a gapful number since it is divisible by the number (18) 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 16704073870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32565236191488).

16704073870848 is an abundant number, since it is smaller than the sum of its proper divisors (48426398512128).

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

16704073870848 is an equidigital number, since it uses as much as digits as its factorization.

16704073870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 16704073870848 in words is "sixteen trillion, seven hundred four billion, seventy-three million, eight hundred seventy thousand, eight hundred forty-eight".