16456749281280 has 1664 divisors, whose sum is σ = 74189857996800. Its totient is φ = 3361112064000.

The previous prime is 16456749281279. The next prime is 16456749281303. The reversal of 16456749281280 is 8218294765461.

It is a happy number.

16456749281280 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 6 + 74 + 9 + 281 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2512094005 + ... + 2512100555.

It is an arithmetic number, because the mean of its divisors is an integer number (44585251200).

Almost surely, 2^{16456749281280} is an apocalyptic number.

16456749281280 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 16456749281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37094928998400).

16456749281280 is an abundant number, since it is smaller than the sum of its proper divisors (57733108715520).

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

16456749281280 is a wasteful number, since it uses less digits than its factorization.

16456749281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 16456749281280 in words is "sixteen trillion, four hundred fifty-six billion, seven hundred forty-nine million, two hundred eighty-one thousand, two hundred eighty".