414103833081 has 45 divisors (see below), whose sum is σ = 624618211701. Its totient is φ = 273408955848.

The previous prime is 414103833071. The next prime is 414103833097. The reversal of 414103833081 is 180338301414.

It is a happy number.

The square root of 414103833081 is 643509.

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

It is not a de Polignac number, because 414103833081 - 2¹¹ = 414103831033 is a prime.

It is a super-2 number, since 2×414103833081² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414103833041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 735530506 + ... + 735531068.

Almost surely, 2^414103833081 is an apocalyptic number.

414103833081 is the 643509-th square number.

414103833081 is the 321755-th centered octagonal number.

It is an amenable number.

414103833081 is a deficient number, since it is larger than the sum of its proper divisors (210514378620).

414103833081 is an frugal number, since it uses more digits than its factorization.

414103833081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 414103833081 by its sum of digits (36), we get a square (14907737990916 = 3861054²).

The spelling of 414103833081 in words is "four hundred fourteen billion, one hundred three million, eight hundred thirty-three thousand, eighty-one".