2359421953681 has 45 divisors (see below), whose sum is σ = 2616180146853. Its totient is φ = 2127846876480.

The previous prime is 2359421953657. The next prime is 2359421953687. The reversal of 2359421953681 is 1863591249532.

It is a happy number.

The square root of 2359421953681 is 1536041.

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

It can be written as a sum of positive squares in 22 ways, for example, as 145039867281 + 2214382086400 = 380841^2 + 1488080^2 .

It is not a de Polignac number, because 2359421953681 - 2⁵ = 2359421953649 is a prime.

It is a super-3 number, since 3×2359421953681³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2359421953687) by changing a digit.

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, 15835046595 + ... + 15835046743.

Almost surely, 2^{2359421953681} is an apocalyptic number.

2359421953681 is the 1536041-st square number.

2359421953681 is the 768021-st centered octagonal number.

It is an amenable number.

2359421953681 is a deficient number, since it is larger than the sum of its proper divisors (256758193172).

2359421953681 is an frugal number, since it uses more digits than its factorization.

2359421953681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 223 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 58.

The spelling of 2359421953681 in words is "two trillion, three hundred fifty-nine billion, four hundred twenty-one million, nine hundred fifty-three thousand, six hundred eighty-one".