16235474112000 has 3200 divisors, whose sum is σ = 72032104400256. Its totient is φ = 3613040640000.

The previous prime is 16235474111863. The next prime is 16235474112001. The reversal of 16235474112000 is 21147453261.

16235474112000 is a `hidden beast` number, since 1 + 6 + 2 + 35 + 4 + 7 + 411 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16235474112001) 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 319 ways as a sum of consecutive naturals, for example, 89698751910 + ... + 89698752090.

Almost surely, 2^{16235474112000} is an apocalyptic number.

16235474112000 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 16235474112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36016052200128).

16235474112000 is an abundant number, since it is smaller than the sum of its proper divisors (55796630288256).

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

16235474112000 is an equidigital number, since it uses as much as digits as its factorization.

16235474112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16235474112000 in words is "sixteen trillion, two hundred thirty-five billion, four hundred seventy-four million, one hundred twelve thousand".