16124094393792 has 448 divisors, whose sum is σ = 54236180275200. Its totient is φ = 4105971486720.

The previous prime is 16124094393773. The next prime is 16124094393793. The reversal of 16124094393792 is 29739349042161.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16124094393793) 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 63 ways as a sum of consecutive naturals, for example, 325326709 + ... + 325376267.

It is an arithmetic number, because the mean of its divisors is an integer number (121062902400).

Almost surely, 2^{16124094393792} is an apocalyptic number.

16124094393792 is a gapful number since it is divisible by the number (12) 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 16124094393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118090137600).

16124094393792 is an abundant number, since it is smaller than the sum of its proper divisors (38112085881408).

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

16124094393792 is a wasteful number, since it uses less digits than its factorization.

16124094393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50024 (or 50014 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 16124094393792 in words is "sixteen trillion, one hundred twenty-four billion, ninety-four million, three hundred ninety-three thousand, seven hundred ninety-two".