16653908046400 has 63 divisors (see below), whose sum is σ = 40979424155161. Its totient is φ = 6661497923840.

The previous prime is 16653908046343. The next prime is 16653908046401. The reversal of 16653908046400 is 464080935661.

It is a happy number.

The square root of 16653908046400 is 4080920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5995406896704 + 10658501149696 = 2448552^2 + 3264736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16653908046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 163185789 + ... + 163287811.

Almost surely, 2^{16653908046400} is an apocalyptic number.

16653908046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16653908046400 is the 4080920-th square number.

It is an amenable number.

16653908046400 is an abundant number, since it is smaller than the sum of its proper divisors (24325516108761).

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

16653908046400 is an frugal number, since it uses more digits than its factorization.

16653908046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204068 (or 102030 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 16653908046400 in words is "sixteen trillion, six hundred fifty-three billion, nine hundred eight million, forty-six thousand, four hundred".