16446613680 has 320 divisors, whose sum is σ = 67558533120. Its totient is φ = 3595705344.

The previous prime is 16446613633. The next prime is 16446613699. The reversal of 16446613680 is 8631664461.

It is a super-2 number, since 2×16446613680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324114 + ... + 371406.

It is an arithmetic number, because the mean of its divisors is an integer number (211120416).

Almost surely, 2^16446613680 is an apocalyptic number.

16446613680 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 16446613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33779266560).

16446613680 is an abundant number, since it is smaller than the sum of its proper divisors (51111919440).

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

16446613680 is a wasteful number, since it uses less digits than its factorization.

16446613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47345 (or 47333 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16446613680 in words is "sixteen billion, four hundred forty-six million, six hundred thirteen thousand, six hundred eighty".