46424068417441 has 243 divisors, whose sum is σ = 60268652596971. Its totient is φ = 35713751673600.

The previous prime is 46424068417429. The next prime is 46424068417453. The reversal of 46424068417441 is 14471486042464.

The square root of 46424068417441 is 6813521.

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

46424068417441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46424068417429) and next prime (46424068417453).

It can be written as a sum of positive squares in 13 ways, for example, as 29511741165841 + 16912327251600 = 5432471^2 + 4112460^2 .

It is not a de Polignac number, because 46424068417441 - 2⁵ = 46424068417409 is a prime.

It is a super-3 number, since 3×46424068417441³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46424068417421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 875925819171 + ... + 875925819223.

Almost surely, 2^{46424068417441} is an apocalyptic number.

46424068417441 is the 6813521-st square number.

46424068417441 is the 3406761-st centered octagonal number.

It is an amenable number.

46424068417441 is a deficient number, since it is larger than the sum of its proper divisors (13844584179530).

46424068417441 is a wasteful number, since it uses less digits than its factorization.

46424068417441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 55.

The spelling of 46424068417441 in words is "forty-six trillion, four hundred twenty-four billion, sixty-eight million, four hundred seventeen thousand, four hundred forty-one".