16147056355600 has 135 divisors (see below), whose sum is σ = 38975066445861. Its totient is φ = 6428701065600.

The previous prime is 16147056355541. The next prime is 16147056355609. The reversal of 16147056355600 is 655365074161.

The square root of 16147056355600 is 4018340.

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., 5812940288016 + 10334116067584 = 2411004^2 + 3214672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16147056355609) 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 26 ways as a sum of consecutive naturals, for example, 26601410497 + ... + 26601411103.

Almost surely, 2^{16147056355600} is an apocalyptic number.

16147056355600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16147056355600 is the 4018340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16147056355600

16147056355600 is an abundant number, since it is smaller than the sum of its proper divisors (22828010090261).

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

16147056355600 is an frugal number, since it uses more digits than its factorization.

16147056355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 16147056355600 by its sum of digits (49), we get a square (791205761424400 = 28128380²).

The spelling of 16147056355600 in words is "sixteen trillion, one hundred forty-seven billion, fifty-six million, three hundred fifty-five thousand, six hundred".