16225485189984 has 864 divisors, whose sum is σ = 58676273510400. Its totient is φ = 4224376074240.

The previous prime is 16225485189967. The next prime is 16225485190007. The reversal of 16225485189984 is 48998158452261.

16225485189984 is a `hidden beast` number, since 1 + 6 + 2 + 25 + 4 + 8 + 518 + 9 + 9 + 84 = 666.

16225485189984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1388092812 + ... + 1388104500.

It is an arithmetic number, because the mean of its divisors is an integer number (67912353600).

Almost surely, 2^{16225485189984} is an apocalyptic number.

16225485189984 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 16225485189984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338136755200).

16225485189984 is an abundant number, since it is smaller than the sum of its proper divisors (42450788320416).

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

16225485189984 is a wasteful number, since it uses less digits than its factorization.

16225485189984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11918 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 72.

The spelling of 16225485189984 in words is "sixteen trillion, two hundred twenty-five billion, four hundred eighty-five million, one hundred eighty-nine thousand, nine hundred eighty-four".