2418419986129 has 9 divisors (see below), whose sum is σ = 2813276728731. Its totient is φ = 2072922085920.

The previous prime is 2418419986123. The next prime is 2418419986153. The reversal of 2418419986129 is 9216899148142.

The square root of 2418419986129 is 1555127.

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., 1334655704529 + 1083764281600 = 1155273^2 + 1041040^2 .

It is not a de Polignac number, because 2418419986129 - 2³ = 2418419986121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2418419986121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10774809 + ... + 10996969.

Almost surely, 2^{2418419986129} is an apocalyptic number.

2418419986129 is the 1555127-th square number.

2418419986129 is the 777564-th centered octagonal number.

It is an amenable number.

2418419986129 is a deficient number, since it is larger than the sum of its proper divisors (394856742602).

2418419986129 is an frugal number, since it uses more digits than its factorization.

2418419986129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444336 (or 222168 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 64.

Multiplying 2418419986129 by its sum of digits (64), we get a square (154778879112256 = 12441016²).

The spelling of 2418419986129 in words is "two trillion, four hundred eighteen billion, four hundred nineteen million, nine hundred eighty-six thousand, one hundred twenty-nine".