7462824121489 has 45 divisors (see below), whose sum is σ = 8325951320505. Its totient is φ = 6689127106200.

The previous prime is 7462824121481. The next prime is 7462824121507. The reversal of 7462824121489 is 9841214282647.

It is a happy number.

The square root of 7462824121489 is 2731817.

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

It is not a de Polignac number, because 7462824121489 - 2³ = 7462824121481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7462824121481) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35368834594 + ... + 35368834804.

Almost surely, 2^{7462824121489} is an apocalyptic number.

7462824121489 is the 2731817-th square number.

7462824121489 is the 1365909-th centered octagonal number.

It is an amenable number.

7462824121489 is a deficient number, since it is larger than the sum of its proper divisors (863127199016).

7462824121489 is an frugal number, since it uses more digits than its factorization.

7462824121489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 329 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 58.

The spelling of 7462824121489 in words is "seven trillion, four hundred sixty-two billion, eight hundred twenty-four million, one hundred twenty-one thousand, four hundred eighty-nine".