14966143332100 has 81 divisors (see below), whose sum is σ = 32615553803637. Its totient is φ = 5960939981280.

The previous prime is 14966143332079. The next prime is 14966143332157. The reversal of 14966143332100 is 123334166941.

It is a happy number.

The square root of 14966143332100 is 3868610.

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., 5387811599556 + 9578331732544 = 2321166^2 + 3094888^2 .

It is a super-2 number, since 2×14966143332100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10948165617 + ... + 10948166983.

Almost surely, 2^{14966143332100} is an apocalyptic number.

14966143332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14966143332100 is the 3868610-th square number.

It is an amenable number.

14966143332100 is an abundant number, since it is smaller than the sum of its proper divisors (17649410471537).

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

14966143332100 is an frugal number, since it uses more digits than its factorization.

14966143332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 14966143332100 in words is "fourteen trillion, nine hundred sixty-six billion, one hundred forty-three million, three hundred thirty-two thousand, one hundred".