332077984122049 has 27 divisors (see below), whose sum is σ = 366462668733889. Its totient is φ = 300693464985320.

The previous prime is 332077984122029. The next prime is 332077984122149. The reversal of 332077984122049 is 940221489770233.

The square root of 332077984122049 is 18223007.

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

It is not a de Polignac number, because 332077984122049 - 2⁹ = 332077984121537 is a prime.

It is a super-2 number, since 2×332077984122049² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332077984122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52719156102 + ... + 52719162400.

Almost surely, 2^{332077984122049} is an apocalyptic number.

332077984122049 is the 18223007-th square number.

332077984122049 is the 9111504-th centered octagonal number.

It is an amenable number.

332077984122049 is a deficient number, since it is larger than the sum of its proper divisors (34384684611840).

332077984122049 is an frugal number, since it uses more digits than its factorization.

332077984122049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 61.

The spelling of 332077984122049 in words is "three hundred thirty-two trillion, seventy-seven billion, nine hundred eighty-four million, one hundred twenty-two thousand, forty-nine".