16146784900 has 81 divisors (see below), whose sum is σ = 35675787567. Its totient is φ = 6343334400.

The previous prime is 16146784883. The next prime is 16146784903. The reversal of 16146784900 is 948764161.

The square root of 16146784900 is 127070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 593701956 + 15553082944 = 24366^2 + 124712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16146784903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123257835 + ... + 123257965.

Almost surely, 2^16146784900 is an apocalyptic number.

16146784900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16146784900 is the 127070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16146784900

16146784900 is an abundant number, since it is smaller than the sum of its proper divisors (19529002667).

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

16146784900 is an equidigital number, since it uses as much as digits as its factorization.

16146784900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 16146784900 in words is "sixteen billion, one hundred forty-six million, seven hundred eighty-four thousand, nine hundred".