16351648346880 has 2304 divisors, whose sum is σ = 74702476800000. Its totient is φ = 3357183836160.

The previous prime is 16351648346843. The next prime is 16351648346881. The reversal of 16351648346880 is 8864384615361.

16351648346880 is a `hidden beast` number, since 1 + 6 + 3 + 5 + 16 + 4 + 83 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (16351648346881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11605143616 + ... + 11605145024.

It is an arithmetic number, because the mean of its divisors is an integer number (32422950000).

Almost surely, 2^{16351648346880} is an apocalyptic number.

16351648346880 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 16351648346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351238400000).

16351648346880 is an abundant number, since it is smaller than the sum of its proper divisors (58350828453120).

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

16351648346880 is a wasteful number, since it uses less digits than its factorization.

16351648346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 16351648346880 in words is "sixteen trillion, three hundred fifty-one billion, six hundred forty-eight million, three hundred forty-six thousand, eight hundred eighty".