16224264690480 has 4480 divisors, whose sum is σ = 78690963456000. Its totient is φ = 3007990702080.

The previous prime is 16224264690427. The next prime is 16224264690497. The reversal of 16224264690480 is 8409646242261.

16224264690480 is a `hidden beast` number, since 1 + 6 + 2 + 2 + 42 + 64 + 69 + 0 + 480 = 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 (17) of ones.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 195473068519 + ... + 195473068601.

It is an arithmetic number, because the mean of its divisors is an integer number (17564947200).

Almost surely, 2^{16224264690480} is an apocalyptic number.

16224264690480 is a gapful number since it is divisible by the number (10) 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 16224264690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39345481728000).

16224264690480 is an abundant number, since it is smaller than the sum of its proper divisors (62466698765520).

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

16224264690480 is a wasteful number, since it uses less digits than its factorization.

16224264690480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 16224264690480 in words is "sixteen trillion, two hundred twenty-four billion, two hundred sixty-four million, six hundred ninety thousand, four hundred eighty".