2414872488196 has 135 divisors (see below), whose sum is σ = 5011284917247. Its totient is φ = 1018171627200.

The previous prime is 2414872488181. The next prime is 2414872488233. The reversal of 2414872488196 is 6918842784142.

The square root of 2414872488196 is 1553986.

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 320299402500 + 2094573085696 = 565950^2 + 1447264^2 .

It is an unprimeable number.

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, 15381353350 + ... + 15381353506.

Almost surely, 2^{2414872488196} is an apocalyptic number.

2414872488196 is the 1553986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414872488196

2414872488196 is an abundant number, since it is smaller than the sum of its proper divisors (2596412429051).

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

2414872488196 is an frugal number, since it uses more digits than its factorization.

2414872488196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 267 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 64.

Multiplying 2414872488196 by its sum of digits (64), we get a square (154551839244544 = 12431888²).

The spelling of 2414872488196 in words is "two trillion, four hundred fourteen billion, eight hundred seventy-two million, four hundred eighty-eight thousand, one hundred ninety-six".