16247004193728 has 560 divisors, whose sum is σ = 60064578359808. Its totient is φ = 4218635520000.

The previous prime is 16247004193727. The next prime is 16247004193753. The reversal of 16247004193728 is 82739140074261.

16247004193728 is a `hidden beast` number, since 1 + 62 + 470 + 0 + 4 + 1 + 93 + 7 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16247004193727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1976276658 + ... + 1976284878.

Almost surely, 2^{16247004193728} is an apocalyptic number.

16247004193728 is a gapful number since it is divisible by the number (18) 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 16247004193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30032289179904).

16247004193728 is an abundant number, since it is smaller than the sum of its proper divisors (43817574166080).

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

16247004193728 is a wasteful number, since it uses less digits than its factorization.

16247004193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13195 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 16247004193728 in words is "sixteen trillion, two hundred forty-seven billion, four million, one hundred ninety-three thousand, seven hundred twenty-eight".