2414353484761 has 9 divisors (see below), whose sum is σ = 2418741655743. Its totient is φ = 2409973269000.

The previous prime is 2414353484729. The next prime is 2414353484783. The reversal of 2414353484761 is 1674843534142.

It is a happy number.

The square root of 2414353484761 is 1553819.

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., 378309874761 + 2036043610000 = 615069^2 + 1426900^2 .

It is not a de Polignac number, because 2414353484761 - 2⁵ = 2414353484729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2414353484699 and 2414353484708.

It is not an unprimeable number, because it can be changed into a prime (2414353484701) 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, 1166917035 + ... + 1166919103.

Almost surely, 2^{2414353484761} is an apocalyptic number.

2414353484761 is the 1553819-th square number.

2414353484761 is the 776910-th centered octagonal number.

It is an amenable number.

2414353484761 is a deficient number, since it is larger than the sum of its proper divisors (4388170982).

2414353484761 is an frugal number, since it uses more digits than its factorization.

2414353484761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 2820 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 52.

The spelling of 2414353484761 in words is "two trillion, four hundred fourteen billion, three hundred fifty-three million, four hundred eighty-four thousand, seven hundred sixty-one".