16961528254464 has 156 divisors (see below), whose sum is σ = 49004314834176. Its totient is φ = 5652651196416.

The previous prime is 16961528254441. The next prime is 16961528254513. The reversal of 16961528254464 is 46445282516961.

16961528254464 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 1 + 5 + 2 + 82 + 544 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184384609 + ... + 184476575.

It is an arithmetic number, because the mean of its divisors is an integer number (314130223296).

Almost surely, 2^{16961528254464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16961528254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24502157417088).

16961528254464 is an abundant number, since it is smaller than the sum of its proper divisors (32042786579712).

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

16961528254464 is an equidigital number, since it uses as much as digits as its factorization.

16961528254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97000 (or 96975 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 16961528254464 in words is "sixteen trillion, nine hundred sixty-one billion, five hundred twenty-eight million, two hundred fifty-four thousand, four hundred sixty-four".