16394474888064 has 896 divisors, whose sum is σ = 60825780523200. Its totient is φ = 4283907637248.

The previous prime is 16394474888063. The next prime is 16394474888111. The reversal of 16394474888064 is 46088847449361.

16394474888064 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 4 + 4 + 7 + 488 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×16394474888064² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16394474887983 and 16394474888001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16394474888063) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 925552872 + ... + 925570584.

Almost surely, 2^{16394474888064} is an apocalyptic number.

16394474888064 is a gapful number since it is divisible by the number (14) 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 16394474888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412890261600).

16394474888064 is an abundant number, since it is smaller than the sum of its proper divisors (44431305635136).

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

16394474888064 is a wasteful number, since it uses less digits than its factorization.

16394474888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17874 (or 17847 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 16394474888064 in words is "sixteen trillion, three hundred ninety-four billion, four hundred seventy-four million, eight hundred eighty-eight thousand, sixty-four".