16425334726416 has 480 divisors, whose sum is σ = 60723112757760. Its totient is φ = 4202640288000.

The previous prime is 16425334726397. The next prime is 16425334726453. The reversal of 16425334726416 is 61462743352461.

16425334726416 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 533 + 47 + 2 + 64 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15074391 + ... + 16127241.

It is an arithmetic number, because the mean of its divisors is an integer number (126506484912).

Almost surely, 2^{16425334726416} is an apocalyptic number.

16425334726416 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 16425334726416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30361556378880).

16425334726416 is an abundant number, since it is smaller than the sum of its proper divisors (44297778031344).

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

16425334726416 is a wasteful number, since it uses less digits than its factorization.

16425334726416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052960 (or 1052941 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 16425334726416 in words is "sixteen trillion, four hundred twenty-five billion, three hundred thirty-four million, seven hundred twenty-six thousand, four hundred sixteen".