16707105843456 has 1152 divisors, whose sum is σ = 57122847129600. Its totient is φ = 4313530368000.

The previous prime is 16707105843349. The next prime is 16707105843499. The reversal of 16707105843456 is 65434850170761.

16707105843456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16707105843396 and 16707105843405.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20962491250 + ... + 20962492046.

It is an arithmetic number, because the mean of its divisors is an integer number (49585804800).

Almost surely, 2^{16707105843456} is an apocalyptic number.

16707105843456 is a gapful number since it is divisible by the number (16) 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 16707105843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28561423564800).

16707105843456 is an abundant number, since it is smaller than the sum of its proper divisors (40415741286144).

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

16707105843456 is a wasteful number, since it uses less digits than its factorization.

16707105843456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 16707105843456 in words is "sixteen trillion, seven hundred seven billion, one hundred five million, eight hundred forty-three thousand, four hundred fifty-six".