46258400485264 has 20 divisors (see below), whose sum is σ = 97773437389680. Its totient is φ = 21026545675040.

The previous prime is 46258400485229. The next prime is 46258400485327.

46258400485264 is nontrivially palindromic in base 10.

46258400485264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46258400485264² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46258400485199 and 46258400485208.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 131415910294 + ... + 131415910645.

It is an arithmetic number, because the mean of its divisors is an integer number (4888671869484).

Almost surely, 2^{46258400485264} is an apocalyptic number.

46258400485264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46258400485264 is an abundant number, since it is smaller than the sum of its proper divisors (51515036904416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46258400485264 is a wasteful number, since it uses less digits than its factorization.

46258400485264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262831820958 (or 262831820952 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 58.

The spelling of 46258400485264 in words is "forty-six trillion, two hundred fifty-eight billion, four hundred million, four hundred eighty-five thousand, two hundred sixty-four".