16455688704 has 640 divisors, whose sum is σ = 61009428480. Its totient is φ = 4263985152.

The previous prime is 16455688687. The next prime is 16455688709. The reversal of 16455688704 is 40788655461.

16455688704 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 568 + 8 + 70 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16455688709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129572289 + ... + 129572415.

It is an arithmetic number, because the mean of its divisors is an integer number (95327232).

Almost surely, 2^16455688704 is an apocalyptic number.

16455688704 is a gapful number since it is divisible by the number (14) 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 16455688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30504714240).

16455688704 is an abundant number, since it is smaller than the sum of its proper divisors (44553739776).

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

16455688704 is a wasteful number, since it uses less digits than its factorization.

16455688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 16455688704 in words is "sixteen billion, four hundred fifty-five million, six hundred eighty-eight thousand, seven hundred four".