14511452172100 has 81 divisors (see below), whose sum is σ = 34099641632343. Its totient is φ = 5357891797440.

The previous prime is 14511452172097. The next prime is 14511452172127. The reversal of 14511452172100 is 127125411541.

The square root of 14511452172100 is 3809390.

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 3740348264004 + 10771103908096 = 1933998^2 + 3281936^2 .

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, 495206049 + ... + 495235351.

Almost surely, 2^{14511452172100} is an apocalyptic number.

14511452172100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14511452172100 is the 3809390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14511452172100

14511452172100 is an abundant number, since it is smaller than the sum of its proper divisors (19588189460243).

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

14511452172100 is an frugal number, since it uses more digits than its factorization.

14511452172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58646 (or 29323 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

Adding to 14511452172100 its reverse (127125411541), we get a palindrome (14638577583641).

The spelling of 14511452172100 in words is "fourteen trillion, five hundred eleven billion, four hundred fifty-two million, one hundred seventy-two thousand, one hundred".