16705746665454 has 256 divisors, whose sum is σ = 42143409285120. Its totient is φ = 4288757760000.

The previous prime is 16705746665437. The next prime is 16705746665459. The reversal of 16705746665454 is 45456664750761.

It is a super-2 number, since 2×16705746665454² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16705746665459) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15063792652 + ... + 15063793760.

It is an arithmetic number, because the mean of its divisors is an integer number (164622692520).

Almost surely, 2^{16705746665454} is an apocalyptic number.

16705746665454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16705746665454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071704642560).

16705746665454 is an abundant number, since it is smaller than the sum of its proper divisors (25437662619666).

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

16705746665454 is a wasteful number, since it uses less digits than its factorization.

16705746665454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267.

The product of its (nonzero) digits is 508032000, while the sum is 66.

The spelling of 16705746665454 in words is "sixteen trillion, seven hundred five billion, seven hundred forty-six million, six hundred sixty-five thousand, four hundred fifty-four".